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Finding the Fourth Proportional to 545.49, 752.78 and 296.82

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Solution

The fourth proportional to 545.49, 752.78 and 296.82 is: 409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.49 : 752.78 = 296.82 : x
  2. Step 2: Convert to fraction form
    545.49/752.78 = 296.82/x
  3. Step 3: Cross multiply
    545.49x = 752.78 × 296.82
  4. Step 4: Simplify right side
    545.49x = 223,436.40
  5. Step 5: Solve for x
    x = 223,436.40/545.49
  6. Step 6: Final answer
    x = 409.61

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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.