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Finding the Fourth Proportional to 565.93, 781.22 and 344.96

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Solution

The fourth proportional to 565.93, 781.22 and 344.96 is: 476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.93 : 781.22 = 344.96 : x
  2. Step 2: Convert to fraction form
    565.93/781.22 = 344.96/x
  3. Step 3: Cross multiply
    565.93x = 781.22 × 344.96
  4. Step 4: Simplify right side
    565.93x = 269,486.61
  5. Step 5: Solve for x
    x = 269,486.61/565.93
  6. Step 6: Final answer
    x = 476.19

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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.