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Finding the Fourth Proportional to 565.90, 781.04 and 344.94

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Solution

The fourth proportional to 565.90, 781.04 and 344.94 is: 476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 781.04 = 344.94 : x
  2. Step 2: Convert to fraction form
    565.90/781.04 = 344.94/x
  3. Step 3: Cross multiply
    565.90x = 781.04 × 344.94
  4. Step 4: Simplify right side
    565.90x = 269,411.94
  5. Step 5: Solve for x
    x = 269,411.94/565.90
  6. Step 6: Final answer
    x = 476.08

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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.