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Finding the Fourth Proportional to 738.32, 1,107.60 and 353.58

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Solution

The fourth proportional to 738.32, 1,107.60 and 353.58 is: 530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.32 : 1,107.60 = 353.58 : x
  2. Step 2: Convert to fraction form
    738.32/1,107.60 = 353.58/x
  3. Step 3: Cross multiply
    738.32x = 1,107.60 × 353.58
  4. Step 4: Simplify right side
    738.32x = 391,625.21
  5. Step 5: Solve for x
    x = 391,625.21/738.32
  6. Step 6: Final answer
    x = 530.43

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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.