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Finding the Fourth Proportional to 631.68, 871.66 and 348.06

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Solution

The fourth proportional to 631.68, 871.66 and 348.06 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 871.66 = 348.06 : x
  2. Step 2: Convert to fraction form
    631.68/871.66 = 348.06/x
  3. Step 3: Cross multiply
    631.68x = 871.66 × 348.06
  4. Step 4: Simplify right side
    631.68x = 303,389.98
  5. Step 5: Solve for x
    x = 303,389.98/631.68
  6. Step 6: Final answer
    x = 480.29

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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.