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Finding the Fourth Proportional to 550.30, 758.49 and 384.16

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Solution

The fourth proportional to 550.30, 758.49 and 384.16 is: 529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.30 : 758.49 = 384.16 : x
  2. Step 2: Convert to fraction form
    550.30/758.49 = 384.16/x
  3. Step 3: Cross multiply
    550.30x = 758.49 × 384.16
  4. Step 4: Simplify right side
    550.30x = 291,381.52
  5. Step 5: Solve for x
    x = 291,381.52/550.30
  6. Step 6: Final answer
    x = 529.50

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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.