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Finding the Fourth Proportional to 738.71, 1,108.05 and 327.74

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Solution

The fourth proportional to 738.71, 1,108.05 and 327.74 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.71 : 1,108.05 = 327.74 : x
  2. Step 2: Convert to fraction form
    738.71/1,108.05 = 327.74/x
  3. Step 3: Cross multiply
    738.71x = 1,108.05 × 327.74
  4. Step 4: Simplify right side
    738.71x = 363,146.77
  5. Step 5: Solve for x
    x = 363,146.77/738.71
  6. Step 6: Final answer
    x = 491.60

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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.