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Finding the Fourth Proportional to 545.24, 752.44 and 296.56

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Solution

The fourth proportional to 545.24, 752.44 and 296.56 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.24 : 752.44 = 296.56 : x
  2. Step 2: Convert to fraction form
    545.24/752.44 = 296.56/x
  3. Step 3: Cross multiply
    545.24x = 752.44 × 296.56
  4. Step 4: Simplify right side
    545.24x = 223,145.80
  5. Step 5: Solve for x
    x = 223,145.80/545.24
  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.