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Finding the Fourth Proportional to 363.95, 545.92 and 90.04

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Solution

The fourth proportional to 363.95, 545.92 and 90.04 is: 135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 545.92 = 90.04 : x
  2. Step 2: Convert to fraction form
    363.95/545.92 = 90.04/x
  3. Step 3: Cross multiply
    363.95x = 545.92 × 90.04
  4. Step 4: Simplify right side
    363.95x = 49,155.21
  5. Step 5: Solve for x
    x = 49,155.21/363.95
  6. Step 6: Final answer
    x = 135.06

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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.