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Finding the Fourth Proportional to 545.93, 752.86 and 414.71

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Solution

The fourth proportional to 545.93, 752.86 and 414.71 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.93 : 752.86 = 414.71 : x
  2. Step 2: Convert to fraction form
    545.93/752.86 = 414.71/x
  3. Step 3: Cross multiply
    545.93x = 752.86 × 414.71
  4. Step 4: Simplify right side
    545.93x = 312,218.57
  5. Step 5: Solve for x
    x = 312,218.57/545.93
  6. Step 6: Final answer
    x = 571.90

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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.