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Finding the Fourth Proportional to 565.20, 781 and 409.68

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Solution

The fourth proportional to 565.20, 781 and 409.68 is: 566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 781 = 409.68 : x
  2. Step 2: Convert to fraction form
    565.20/781 = 409.68/x
  3. Step 3: Cross multiply
    565.20x = 781 × 409.68
  4. Step 4: Simplify right side
    565.20x = 319,960.08
  5. Step 5: Solve for x
    x = 319,960.08/565.20
  6. Step 6: Final answer
    x = 566.10

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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.