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Finding the Fourth Proportional to 545.19, 752.33 and 309.14

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Solution

The fourth proportional to 545.19, 752.33 and 309.14 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.19 : 752.33 = 309.14 : x
  2. Step 2: Convert to fraction form
    545.19/752.33 = 309.14/x
  3. Step 3: Cross multiply
    545.19x = 752.33 × 309.14
  4. Step 4: Simplify right side
    545.19x = 232,569.99
  5. Step 5: Solve for x
    x = 232,569.99/545.19
  6. Step 6: Final answer
    x = 426.59

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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.