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Finding the Fourth Proportional to 550.50, 826.16 and 358.53

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Solution

The fourth proportional to 550.50, 826.16 and 358.53 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 826.16 = 358.53 : x
  2. Step 2: Convert to fraction form
    550.50/826.16 = 358.53/x
  3. Step 3: Cross multiply
    550.50x = 826.16 × 358.53
  4. Step 4: Simplify right side
    550.50x = 296,201.35
  5. Step 5: Solve for x
    x = 296,201.35/550.50
  6. Step 6: Final answer
    x = 538.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.