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Finding the Fourth Proportional to 545.41, 752.71 and 309.36

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Solution

The fourth proportional to 545.41, 752.71 and 309.36 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 752.71 = 309.36 : x
  2. Step 2: Convert to fraction form
    545.41/752.71 = 309.36/x
  3. Step 3: Cross multiply
    545.41x = 752.71 × 309.36
  4. Step 4: Simplify right side
    545.41x = 232,853.06
  5. Step 5: Solve for x
    x = 232,853.06/545.41
  6. Step 6: Final answer
    x = 426.93

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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.