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Finding the Fourth Proportional to 546.24, 818.28 and 436.74

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Solution

The fourth proportional to 546.24, 818.28 and 436.74 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 818.28 = 436.74 : x
  2. Step 2: Convert to fraction form
    546.24/818.28 = 436.74/x
  3. Step 3: Cross multiply
    546.24x = 818.28 × 436.74
  4. Step 4: Simplify right side
    546.24x = 357,375.61
  5. Step 5: Solve for x
    x = 357,375.61/546.24
  6. Step 6: Final answer
    x = 654.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.