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Finding the Fourth Proportional to 491.84, 738.24 and 363.20

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Solution

The fourth proportional to 491.84, 738.24 and 363.20 is: 545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 738.24 = 363.20 : x
  2. Step 2: Convert to fraction form
    491.84/738.24 = 363.20/x
  3. Step 3: Cross multiply
    491.84x = 738.24 × 363.20
  4. Step 4: Simplify right side
    491.84x = 268,128.77
  5. Step 5: Solve for x
    x = 268,128.77/491.84
  6. Step 6: Final answer
    x = 545.15

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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.