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Finding the Fourth Proportional to 566.31, 781.50 and 345.26

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Solution

The fourth proportional to 566.31, 781.50 and 345.26 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.31 : 781.50 = 345.26 : x
  2. Step 2: Convert to fraction form
    566.31/781.50 = 345.26/x
  3. Step 3: Cross multiply
    566.31x = 781.50 × 345.26
  4. Step 4: Simplify right side
    566.31x = 269,819.71
  5. Step 5: Solve for x
    x = 269,819.71/566.31
  6. Step 6: Final answer
    x = 476.45

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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.