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Finding the Fourth Proportional to 565.31, 780.10 and 344.12

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Solution

The fourth proportional to 565.31, 780.10 and 344.12 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 780.10 = 344.12 : x
  2. Step 2: Convert to fraction form
    565.31/780.10 = 344.12/x
  3. Step 3: Cross multiply
    565.31x = 780.10 × 344.12
  4. Step 4: Simplify right side
    565.31x = 268,443.25
  5. Step 5: Solve for x
    x = 268,443.25/565.31
  6. Step 6: Final answer
    x = 474.86

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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.