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Finding the Fourth Proportional to 739.32, 1,109.10 and 354.58

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Solution

The fourth proportional to 739.32, 1,109.10 and 354.58 is: 531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.32 : 1,109.10 = 354.58 : x
  2. Step 2: Convert to fraction form
    739.32/1,109.10 = 354.58/x
  3. Step 3: Cross multiply
    739.32x = 1,109.10 × 354.58
  4. Step 4: Simplify right side
    739.32x = 393,264.68
  5. Step 5: Solve for x
    x = 393,264.68/739.32
  6. Step 6: Final answer
    x = 531.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.