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Finding the Fourth Proportional to 600.78, 901.19 and 292.89

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Solution

The fourth proportional to 600.78, 901.19 and 292.89 is: 439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 901.19 = 292.89 : x
  2. Step 2: Convert to fraction form
    600.78/901.19 = 292.89/x
  3. Step 3: Cross multiply
    600.78x = 901.19 × 292.89
  4. Step 4: Simplify right side
    600.78x = 263,951.12
  5. Step 5: Solve for x
    x = 263,951.12/600.78
  6. Step 6: Final answer
    x = 439.35

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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.