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Finding the Fourth Proportional to 670.20, 1,004.41 and 362.13

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Solution

The fourth proportional to 670.20, 1,004.41 and 362.13 is: 542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.20 : 1,004.41 = 362.13 : x
  2. Step 2: Convert to fraction form
    670.20/1,004.41 = 362.13/x
  3. Step 3: Cross multiply
    670.20x = 1,004.41 × 362.13
  4. Step 4: Simplify right side
    670.20x = 363,726.99
  5. Step 5: Solve for x
    x = 363,726.99/670.20
  6. Step 6: Final answer
    x = 542.71

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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.