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Finding the Fourth Proportional to 545.26, 752.45 and 296.57

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Solution

The fourth proportional to 545.26, 752.45 and 296.57 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.26 : 752.45 = 296.57 : x
  2. Step 2: Convert to fraction form
    545.26/752.45 = 296.57/x
  3. Step 3: Cross multiply
    545.26x = 752.45 × 296.57
  4. Step 4: Simplify right side
    545.26x = 223,153.36
  5. Step 5: Solve for x
    x = 223,153.36/545.26
  6. Step 6: Final answer
    x = 409.26

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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.