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Finding the Fourth Proportional to 550, 759.64 and 365.68

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Solution

The fourth proportional to 550, 759.64 and 365.68 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 759.64 = 365.68 : x
  2. Step 2: Convert to fraction form
    550/759.64 = 365.68/x
  3. Step 3: Cross multiply
    550x = 759.64 × 365.68
  4. Step 4: Simplify right side
    550x = 277,785.16
  5. Step 5: Solve for x
    x = 277,785.16/550
  6. Step 6: Final answer
    x = 505.06

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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.