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Finding the Fourth Proportional to 555.19, 831.85 and 280.71

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Solution

The fourth proportional to 555.19, 831.85 and 280.71 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.19 : 831.85 = 280.71 : x
  2. Step 2: Convert to fraction form
    555.19/831.85 = 280.71/x
  3. Step 3: Cross multiply
    555.19x = 831.85 × 280.71
  4. Step 4: Simplify right side
    555.19x = 233,508.61
  5. Step 5: Solve for x
    x = 233,508.61/555.19
  6. Step 6: Final answer
    x = 420.59

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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.