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Finding the Fourth Proportional to 738.76, 1,107.42 and 354.28

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Solution

The fourth proportional to 738.76, 1,107.42 and 354.28 is: 531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,107.42 = 354.28 : x
  2. Step 2: Convert to fraction form
    738.76/1,107.42 = 354.28/x
  3. Step 3: Cross multiply
    738.76x = 1,107.42 × 354.28
  4. Step 4: Simplify right side
    738.76x = 392,336.76
  5. Step 5: Solve for x
    x = 392,336.76/738.76
  6. Step 6: Final answer
    x = 531.07

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Why These Related Problems?

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