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Finding the Fourth Proportional to 534.13, 736.90 and 347.69

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Solution

The fourth proportional to 534.13, 736.90 and 347.69 is: 479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 736.90 = 347.69 : x
  2. Step 2: Convert to fraction form
    534.13/736.90 = 347.69/x
  3. Step 3: Cross multiply
    534.13x = 736.90 × 347.69
  4. Step 4: Simplify right side
    534.13x = 256,213.73
  5. Step 5: Solve for x
    x = 256,213.73/534.13
  6. Step 6: Final answer
    x = 479.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.