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Finding the Fourth Proportional to 631.04, 870.86 and 382.32

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Solution

The fourth proportional to 631.04, 870.86 and 382.32 is: 527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.04 : 870.86 = 382.32 : x
  2. Step 2: Convert to fraction form
    631.04/870.86 = 382.32/x
  3. Step 3: Cross multiply
    631.04x = 870.86 × 382.32
  4. Step 4: Simplify right side
    631.04x = 332,947.20
  5. Step 5: Solve for x
    x = 332,947.20/631.04
  6. Step 6: Final answer
    x = 527.62

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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.