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Finding the Fourth Proportional to 545.22, 752.42 and 309.16

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Solution

The fourth proportional to 545.22, 752.42 and 309.16 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.22 : 752.42 = 309.16 : x
  2. Step 2: Convert to fraction form
    545.22/752.42 = 309.16/x
  3. Step 3: Cross multiply
    545.22x = 752.42 × 309.16
  4. Step 4: Simplify right side
    545.22x = 232,618.72
  5. Step 5: Solve for x
    x = 232,618.72/545.22
  6. Step 6: Final answer
    x = 426.65

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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.