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Finding the Fourth Proportional to 546.36, 818.52 and 459.72

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Solution

The fourth proportional to 546.36, 818.52 and 459.72 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 818.52 = 459.72 : x
  2. Step 2: Convert to fraction form
    546.36/818.52 = 459.72/x
  3. Step 3: Cross multiply
    546.36x = 818.52 × 459.72
  4. Step 4: Simplify right side
    546.36x = 376,290.01
  5. Step 5: Solve for x
    x = 376,290.01/546.36
  6. Step 6: Final answer
    x = 688.72

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