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Finding the Fourth Proportional to 596.77, 824.17 and 410.74

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Solution

The fourth proportional to 596.77, 824.17 and 410.74 is: 567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 824.17 = 410.74 : x
  2. Step 2: Convert to fraction form
    596.77/824.17 = 410.74/x
  3. Step 3: Cross multiply
    596.77x = 824.17 × 410.74
  4. Step 4: Simplify right side
    596.77x = 338,520.62
  5. Step 5: Solve for x
    x = 338,520.62/596.77
  6. Step 6: Final answer
    x = 567.25

Related Problems

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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.