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Finding the Fourth Proportional to 546.03, 751.88 and 493.94

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Solution

The fourth proportional to 546.03, 751.88 and 493.94 is: 680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.03 : 751.88 = 493.94 : x
  2. Step 2: Convert to fraction form
    546.03/751.88 = 493.94/x
  3. Step 3: Cross multiply
    546.03x = 751.88 × 493.94
  4. Step 4: Simplify right side
    546.03x = 371,377.38
  5. Step 5: Solve for x
    x = 371,377.38/546.03
  6. Step 6: Final answer
    x = 680.14

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Why These Related Problems?

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