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Finding the Fourth Proportional to 631.28, 871.10 and 465.58

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Solution

The fourth proportional to 631.28, 871.10 and 465.58 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 871.10 = 465.58 : x
  2. Step 2: Convert to fraction form
    631.28/871.10 = 465.58/x
  3. Step 3: Cross multiply
    631.28x = 871.10 × 465.58
  4. Step 4: Simplify right side
    631.28x = 405,569.86
  5. Step 5: Solve for x
    x = 405,569.86/631.28
  6. Step 6: Final answer
    x = 642.46

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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.