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Finding the Fourth Proportional to 545.49, 752.94 and 406.08

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Solution

The fourth proportional to 545.49, 752.94 and 406.08 is: 560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 752.94 = 406.08 : x
  2. Step 2: Convert to fraction form
    545.49/752.94 = 406.08/x
  3. Step 3: Cross multiply
    545.49x = 752.94 × 406.08
  4. Step 4: Simplify right side
    545.49x = 305,753.88
  5. Step 5: Solve for x
    x = 305,753.88/545.49
  6. Step 6: Final answer
    x = 560.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.