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Finding the Fourth Proportional to 922.35, 1,383.17 and 345.27

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Solution

The fourth proportional to 922.35, 1,383.17 and 345.27 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.35 : 1,383.17 = 345.27 : x
  2. Step 2: Convert to fraction form
    922.35/1,383.17 = 345.27/x
  3. Step 3: Cross multiply
    922.35x = 1,383.17 × 345.27
  4. Step 4: Simplify right side
    922.35x = 477,565.38
  5. Step 5: Solve for x
    x = 477,565.38/922.35
  6. Step 6: Final answer
    x = 517.77

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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.