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Finding the Fourth Proportional to 631.93, 872.01 and 466.24

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Solution

The fourth proportional to 631.93, 872.01 and 466.24 is: 643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.93 : 872.01 = 466.24 : x
  2. Step 2: Convert to fraction form
    631.93/872.01 = 466.24/x
  3. Step 3: Cross multiply
    631.93x = 872.01 × 466.24
  4. Step 4: Simplify right side
    631.93x = 406,565.94
  5. Step 5: Solve for x
    x = 406,565.94/631.93
  6. Step 6: Final answer
    x = 643.37

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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.