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Finding the Fourth Proportional to 545.82, 817.52 and 471.71

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Solution

The fourth proportional to 545.82, 817.52 and 471.71 is: 706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 817.52 = 471.71 : x
  2. Step 2: Convert to fraction form
    545.82/817.52 = 471.71/x
  3. Step 3: Cross multiply
    545.82x = 817.52 × 471.71
  4. Step 4: Simplify right side
    545.82x = 385,625.91
  5. Step 5: Solve for x
    x = 385,625.91/545.82
  6. Step 6: Final answer
    x = 706.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.