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Finding the Fourth Proportional to 597.48, 895.76 and 284.97

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Solution

The fourth proportional to 597.48, 895.76 and 284.97 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 895.76 = 284.97 : x
  2. Step 2: Convert to fraction form
    597.48/895.76 = 284.97/x
  3. Step 3: Cross multiply
    597.48x = 895.76 × 284.97
  4. Step 4: Simplify right side
    597.48x = 255,263.30
  5. Step 5: Solve for x
    x = 255,263.30/597.48
  6. Step 6: Final answer
    x = 427.23

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.