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Finding the Fourth Proportional to 546.39, 820.80 and 466.20

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Solution

The fourth proportional to 546.39, 820.80 and 466.20 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 820.80 = 466.20 : x
  2. Step 2: Convert to fraction form
    546.39/820.80 = 466.20/x
  3. Step 3: Cross multiply
    546.39x = 820.80 × 466.20
  4. Step 4: Simplify right side
    546.39x = 382,656.96
  5. Step 5: Solve for x
    x = 382,656.96/546.39
  6. Step 6: Final answer
    x = 700.34

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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.