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Finding the Fourth Proportional to 631.28, 871.41 and 565.67

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Solution

The fourth proportional to 631.28, 871.41 and 565.67 is: 780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 871.41 = 565.67 : x
  2. Step 2: Convert to fraction form
    631.28/871.41 = 565.67/x
  3. Step 3: Cross multiply
    631.28x = 871.41 × 565.67
  4. Step 4: Simplify right side
    631.28x = 492,926.14
  5. Step 5: Solve for x
    x = 492,926.14/631.28
  6. Step 6: Final answer
    x = 780.84

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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.