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Finding the Fourth Proportional to 631.65, 871.10 and 456.69

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Solution

The fourth proportional to 631.65, 871.10 and 456.69 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.65 : 871.10 = 456.69 : x
  2. Step 2: Convert to fraction form
    631.65/871.10 = 456.69/x
  3. Step 3: Cross multiply
    631.65x = 871.10 × 456.69
  4. Step 4: Simplify right side
    631.65x = 397,822.66
  5. Step 5: Solve for x
    x = 397,822.66/631.65
  6. Step 6: Final answer
    x = 629.82

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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.