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Finding the Fourth Proportional to 550.17, 824.32 and 387.55

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Solution

The fourth proportional to 550.17, 824.32 and 387.55 is: 580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 824.32 = 387.55 : x
  2. Step 2: Convert to fraction form
    550.17/824.32 = 387.55/x
  3. Step 3: Cross multiply
    550.17x = 824.32 × 387.55
  4. Step 4: Simplify right side
    550.17x = 319,465.22
  5. Step 5: Solve for x
    x = 319,465.22/550.17
  6. Step 6: Final answer
    x = 580.67

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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.