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Finding the Fourth Proportional to 545.04, 752.52 and 414.72

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Solution

The fourth proportional to 545.04, 752.52 and 414.72 is: 572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 752.52 = 414.72 : x
  2. Step 2: Convert to fraction form
    545.04/752.52 = 414.72/x
  3. Step 3: Cross multiply
    545.04x = 752.52 × 414.72
  4. Step 4: Simplify right side
    545.04x = 312,085.09
  5. Step 5: Solve for x
    x = 312,085.09/545.04
  6. Step 6: Final answer
    x = 572.59

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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.