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Finding the Fourth Proportional to 602.01, 829.76 and 549.73

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Solution

The fourth proportional to 602.01, 829.76 and 549.73 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 829.76 = 549.73 : x
  2. Step 2: Convert to fraction form
    602.01/829.76 = 549.73/x
  3. Step 3: Cross multiply
    602.01x = 829.76 × 549.73
  4. Step 4: Simplify right side
    602.01x = 456,143.26
  5. Step 5: Solve for x
    x = 456,143.26/602.01
  6. Step 6: Final answer
    x = 757.70

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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.