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Finding the Fourth Proportional to 412.71, 619.14 and 248.46

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Solution

The fourth proportional to 412.71, 619.14 and 248.46 is: 372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 619.14 = 248.46 : x
  2. Step 2: Convert to fraction form
    412.71/619.14 = 248.46/x
  3. Step 3: Cross multiply
    412.71x = 619.14 × 248.46
  4. Step 4: Simplify right side
    412.71x = 153,831.52
  5. Step 5: Solve for x
    x = 153,831.52/412.71
  6. Step 6: Final answer
    x = 372.74

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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.