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Finding the Fourth Proportional to 550.53, 758.43 and 384.44

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Solution

The fourth proportional to 550.53, 758.43 and 384.44 is: 529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.53 : 758.43 = 384.44 : x
  2. Step 2: Convert to fraction form
    550.53/758.43 = 384.44/x
  3. Step 3: Cross multiply
    550.53x = 758.43 × 384.44
  4. Step 4: Simplify right side
    550.53x = 291,570.83
  5. Step 5: Solve for x
    x = 291,570.83/550.53
  6. Step 6: Final answer
    x = 529.62

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Why These Related Problems?

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