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Finding the Fourth Proportional to 552.06, 831.36 and 480.78

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Solution

The fourth proportional to 552.06, 831.36 and 480.78 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 831.36 = 480.78 : x
  2. Step 2: Convert to fraction form
    552.06/831.36 = 480.78/x
  3. Step 3: Cross multiply
    552.06x = 831.36 × 480.78
  4. Step 4: Simplify right side
    552.06x = 399,701.26
  5. Step 5: Solve for x
    x = 399,701.26/552.06
  6. Step 6: Final answer
    x = 724.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.