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Finding the Fourth Proportional to 545.46, 815.24 and 468.90

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Solution

The fourth proportional to 545.46, 815.24 and 468.90 is: 700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 815.24 = 468.90 : x
  2. Step 2: Convert to fraction form
    545.46/815.24 = 468.90/x
  3. Step 3: Cross multiply
    545.46x = 815.24 × 468.90
  4. Step 4: Simplify right side
    545.46x = 382,263.69
  5. Step 5: Solve for x
    x = 382,263.69/545.46
  6. Step 6: Final answer
    x = 700.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.