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Finding the Fourth Proportional to 631.14, 870.98 and 382.45

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Solution

The fourth proportional to 631.14, 870.98 and 382.45 is: 527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 870.98 = 382.45 : x
  2. Step 2: Convert to fraction form
    631.14/870.98 = 382.45/x
  3. Step 3: Cross multiply
    631.14x = 870.98 × 382.45
  4. Step 4: Simplify right side
    631.14x = 333,106.30
  5. Step 5: Solve for x
    x = 333,106.30/631.14
  6. Step 6: Final answer
    x = 527.79

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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.