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Finding the Fourth Proportional to 545.60, 752.08 and 446.43

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Solution

The fourth proportional to 545.60, 752.08 and 446.43 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 752.08 = 446.43 : x
  2. Step 2: Convert to fraction form
    545.60/752.08 = 446.43/x
  3. Step 3: Cross multiply
    545.60x = 752.08 × 446.43
  4. Step 4: Simplify right side
    545.60x = 335,751.07
  5. Step 5: Solve for x
    x = 335,751.07/545.60
  6. Step 6: Final answer
    x = 615.38

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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.