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Finding the Fourth Proportional to 647.24, 892.67 and 457.85

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Solution

The fourth proportional to 647.24, 892.67 and 457.85 is: 631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 892.67 = 457.85 : x
  2. Step 2: Convert to fraction form
    647.24/892.67 = 457.85/x
  3. Step 3: Cross multiply
    647.24x = 892.67 × 457.85
  4. Step 4: Simplify right side
    647.24x = 408,708.96
  5. Step 5: Solve for x
    x = 408,708.96/647.24
  6. Step 6: Final answer
    x = 631.46

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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.