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Finding the Fourth Proportional to 574.04, 861.45 and 496.89

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Solution

The fourth proportional to 574.04, 861.45 and 496.89 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.04 : 861.45 = 496.89 : x
  2. Step 2: Convert to fraction form
    574.04/861.45 = 496.89/x
  3. Step 3: Cross multiply
    574.04x = 861.45 × 496.89
  4. Step 4: Simplify right side
    574.04x = 428,043.41
  5. Step 5: Solve for x
    x = 428,043.41/574.04
  6. Step 6: Final answer
    x = 745.67

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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.