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Finding the Fourth Proportional to 534.32, 735.32 and 494.64

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Solution

The fourth proportional to 534.32, 735.32 and 494.64 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 735.32 = 494.64 : x
  2. Step 2: Convert to fraction form
    534.32/735.32 = 494.64/x
  3. Step 3: Cross multiply
    534.32x = 735.32 × 494.64
  4. Step 4: Simplify right side
    534.32x = 363,718.68
  5. Step 5: Solve for x
    x = 363,718.68/534.32
  6. Step 6: Final answer
    x = 680.71

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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.