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Finding the Fourth Proportional to 521.54, 721.30 and 466.18

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Solution

The fourth proportional to 521.54, 721.30 and 466.18 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.54 : 721.30 = 466.18 : x
  2. Step 2: Convert to fraction form
    521.54/721.30 = 466.18/x
  3. Step 3: Cross multiply
    521.54x = 721.30 × 466.18
  4. Step 4: Simplify right side
    521.54x = 336,255.63
  5. Step 5: Solve for x
    x = 336,255.63/521.54
  6. Step 6: Final answer
    x = 644.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.