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Finding the Fourth Proportional to 545.24, 752.42 and 309.20

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Solution

The fourth proportional to 545.24, 752.42 and 309.20 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.24 : 752.42 = 309.20 : x
  2. Step 2: Convert to fraction form
    545.24/752.42 = 309.20/x
  3. Step 3: Cross multiply
    545.24x = 752.42 × 309.20
  4. Step 4: Simplify right side
    545.24x = 232,642.96
  5. Step 5: Solve for x
    x = 232,642.96/545.24
  6. Step 6: Final answer
    x = 426.68

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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.