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Finding the Fourth Proportional to 494.06, 740.46 and 362.12

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Solution

The fourth proportional to 494.06, 740.46 and 362.12 is: 542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.06 : 740.46 = 362.12 : x
  2. Step 2: Convert to fraction form
    494.06/740.46 = 362.12/x
  3. Step 3: Cross multiply
    494.06x = 740.46 × 362.12
  4. Step 4: Simplify right side
    494.06x = 268,135.38
  5. Step 5: Solve for x
    x = 268,135.38/494.06
  6. Step 6: Final answer
    x = 542.72

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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.