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Finding the Fourth Proportional to 547.98, 820.35 and 431.61

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Solution

The fourth proportional to 547.98, 820.35 and 431.61 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.98 : 820.35 = 431.61 : x
  2. Step 2: Convert to fraction form
    547.98/820.35 = 431.61/x
  3. Step 3: Cross multiply
    547.98x = 820.35 × 431.61
  4. Step 4: Simplify right side
    547.98x = 354,071.26
  5. Step 5: Solve for x
    x = 354,071.26/547.98
  6. Step 6: Final answer
    x = 646.14

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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.