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Finding the Fourth Proportional to 545.81, 752.97 and 368.55

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Solution

The fourth proportional to 545.81, 752.97 and 368.55 is: 508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 752.97 = 368.55 : x
  2. Step 2: Convert to fraction form
    545.81/752.97 = 368.55/x
  3. Step 3: Cross multiply
    545.81x = 752.97 × 368.55
  4. Step 4: Simplify right side
    545.81x = 277,507.44
  5. Step 5: Solve for x
    x = 277,507.44/545.81
  6. Step 6: Final answer
    x = 508.43

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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.