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Finding the Fourth Proportional to 631.22, 870.65 and 382.11

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Solution

The fourth proportional to 631.22, 870.65 and 382.11 is: 527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 870.65 = 382.11 : x
  2. Step 2: Convert to fraction form
    631.22/870.65 = 382.11/x
  3. Step 3: Cross multiply
    631.22x = 870.65 × 382.11
  4. Step 4: Simplify right side
    631.22x = 332,677.81
  5. Step 5: Solve for x
    x = 332,677.81/631.22
  6. Step 6: Final answer
    x = 527.04

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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.