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Finding the Fourth Proportional to 545.57, 752.89 and 296.89

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Solution

The fourth proportional to 545.57, 752.89 and 296.89 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.57 : 752.89 = 296.89 : x
  2. Step 2: Convert to fraction form
    545.57/752.89 = 296.89/x
  3. Step 3: Cross multiply
    545.57x = 752.89 × 296.89
  4. Step 4: Simplify right side
    545.57x = 223,524.03
  5. Step 5: Solve for x
    x = 223,524.03/545.57
  6. Step 6: Final answer
    x = 409.71

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Why These Related Problems?

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