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Finding the Fourth Proportional to 546.98, 819.66 and 373.64

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Solution

The fourth proportional to 546.98, 819.66 and 373.64 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.98 : 819.66 = 373.64 : x
  2. Step 2: Convert to fraction form
    546.98/819.66 = 373.64/x
  3. Step 3: Cross multiply
    546.98x = 819.66 × 373.64
  4. Step 4: Simplify right side
    546.98x = 306,257.76
  5. Step 5: Solve for x
    x = 306,257.76/546.98
  6. Step 6: Final answer
    x = 559.91

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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.