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Finding the Fourth Proportional to 545.12, 752.24 and 309.05

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Solution

The fourth proportional to 545.12, 752.24 and 309.05 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.12 : 752.24 = 309.05 : x
  2. Step 2: Convert to fraction form
    545.12/752.24 = 309.05/x
  3. Step 3: Cross multiply
    545.12x = 752.24 × 309.05
  4. Step 4: Simplify right side
    545.12x = 232,474.47
  5. Step 5: Solve for x
    x = 232,474.47/545.12
  6. Step 6: Final answer
    x = 426.47

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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.