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Finding the Fourth Proportional to 550.28, 758.08 and 384.19

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Solution

The fourth proportional to 550.28, 758.08 and 384.19 is: 529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 758.08 = 384.19 : x
  2. Step 2: Convert to fraction form
    550.28/758.08 = 384.19/x
  3. Step 3: Cross multiply
    550.28x = 758.08 × 384.19
  4. Step 4: Simplify right side
    550.28x = 291,246.76
  5. Step 5: Solve for x
    x = 291,246.76/550.28
  6. Step 6: Final answer
    x = 529.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.