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Finding the Fourth Proportional to 554.18, 831.44 and 280.12

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Solution

The fourth proportional to 554.18, 831.44 and 280.12 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.18 : 831.44 = 280.12 : x
  2. Step 2: Convert to fraction form
    554.18/831.44 = 280.12/x
  3. Step 3: Cross multiply
    554.18x = 831.44 × 280.12
  4. Step 4: Simplify right side
    554.18x = 232,899.49
  5. Step 5: Solve for x
    x = 232,899.49/554.18
  6. Step 6: Final answer
    x = 420.26

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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.