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Finding the Fourth Proportional to 545.15, 752.29 and 321.11

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Solution

The fourth proportional to 545.15, 752.29 and 321.11 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.15 : 752.29 = 321.11 : x
  2. Step 2: Convert to fraction form
    545.15/752.29 = 321.11/x
  3. Step 3: Cross multiply
    545.15x = 752.29 × 321.11
  4. Step 4: Simplify right side
    545.15x = 241,567.91
  5. Step 5: Solve for x
    x = 241,567.91/545.15
  6. Step 6: Final answer
    x = 443.12

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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.