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Finding the Fourth Proportional to 631.42, 871.30 and 465.72

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Solution

The fourth proportional to 631.42, 871.30 and 465.72 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 871.30 = 465.72 : x
  2. Step 2: Convert to fraction form
    631.42/871.30 = 465.72/x
  3. Step 3: Cross multiply
    631.42x = 871.30 × 465.72
  4. Step 4: Simplify right side
    631.42x = 405,782.74
  5. Step 5: Solve for x
    x = 405,782.74/631.42
  6. Step 6: Final answer
    x = 642.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.