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Finding the Fourth Proportional to 545.30, 817.57 and 362.13

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Solution

The fourth proportional to 545.30, 817.57 and 362.13 is: 542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.30 : 817.57 = 362.13 : x
  2. Step 2: Convert to fraction form
    545.30/817.57 = 362.13/x
  3. Step 3: Cross multiply
    545.30x = 817.57 × 362.13
  4. Step 4: Simplify right side
    545.30x = 296,064.81
  5. Step 5: Solve for x
    x = 296,064.81/545.30
  6. Step 6: Final answer
    x = 542.94

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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.