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Finding the Fourth Proportional to 545.81, 752.82 and 379.95

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Solution

The fourth proportional to 545.81, 752.82 and 379.95 is: 524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 752.82 = 379.95 : x
  2. Step 2: Convert to fraction form
    545.81/752.82 = 379.95/x
  3. Step 3: Cross multiply
    545.81x = 752.82 × 379.95
  4. Step 4: Simplify right side
    545.81x = 286,033.96
  5. Step 5: Solve for x
    x = 286,033.96/545.81
  6. Step 6: Final answer
    x = 524.06

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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.