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Finding the Fourth Proportional to 631.15, 944.25 and 415.15

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Solution

The fourth proportional to 631.15, 944.25 and 415.15 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.15 : 944.25 = 415.15 : x
  2. Step 2: Convert to fraction form
    631.15/944.25 = 415.15/x
  3. Step 3: Cross multiply
    631.15x = 944.25 × 415.15
  4. Step 4: Simplify right side
    631.15x = 392,005.39
  5. Step 5: Solve for x
    x = 392,005.39/631.15
  6. Step 6: Final answer
    x = 621.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.