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Finding the Fourth Proportional to 648.66, 895.32 and 412.76

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Solution

The fourth proportional to 648.66, 895.32 and 412.76 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 895.32 = 412.76 : x
  2. Step 2: Convert to fraction form
    648.66/895.32 = 412.76/x
  3. Step 3: Cross multiply
    648.66x = 895.32 × 412.76
  4. Step 4: Simplify right side
    648.66x = 369,547.81
  5. Step 5: Solve for x
    x = 369,547.81/648.66
  6. Step 6: Final answer
    x = 569.71

Related Problems

Find fourth proportional to 324.33, 447.66 and 206.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.