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Finding the Fourth Proportional to 550.44, 759.60 and 384.48

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Solution

The fourth proportional to 550.44, 759.60 and 384.48 is: 530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 759.60 = 384.48 : x
  2. Step 2: Convert to fraction form
    550.44/759.60 = 384.48/x
  3. Step 3: Cross multiply
    550.44x = 759.60 × 384.48
  4. Step 4: Simplify right side
    550.44x = 292,051.01
  5. Step 5: Solve for x
    x = 292,051.01/550.44
  6. Step 6: Final answer
    x = 530.58

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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.