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Finding the Fourth Proportional to 600.92, 900.82 and 235.71

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Solution

The fourth proportional to 600.92, 900.82 and 235.71 is: 353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 900.82 = 235.71 : x
  2. Step 2: Convert to fraction form
    600.92/900.82 = 235.71/x
  3. Step 3: Cross multiply
    600.92x = 900.82 × 235.71
  4. Step 4: Simplify right side
    600.92x = 212,332.58
  5. Step 5: Solve for x
    x = 212,332.58/600.92
  6. Step 6: Final answer
    x = 353.35

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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.