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Finding the Fourth Proportional to 568.13, 781.98 and 410.51

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Solution

The fourth proportional to 568.13, 781.98 and 410.51 is: 565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.13 : 781.98 = 410.51 : x
  2. Step 2: Convert to fraction form
    568.13/781.98 = 410.51/x
  3. Step 3: Cross multiply
    568.13x = 781.98 × 410.51
  4. Step 4: Simplify right side
    568.13x = 321,006.70
  5. Step 5: Solve for x
    x = 321,006.70/568.13
  6. Step 6: Final answer
    x = 565.03

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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.