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Finding the Fourth Proportional to 545.60, 751.65 and 446.78

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Solution

The fourth proportional to 545.60, 751.65 and 446.78 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.60 : 751.65 = 446.78 : x
  2. Step 2: Convert to fraction form
    545.60/751.65 = 446.78/x
  3. Step 3: Cross multiply
    545.60x = 751.65 × 446.78
  4. Step 4: Simplify right side
    545.60x = 335,822.19
  5. Step 5: Solve for x
    x = 335,822.19/545.60
  6. Step 6: Final answer
    x = 615.51

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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.