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Finding the Fourth Proportional to 600.77, 901.32 and 235.66

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Solution

The fourth proportional to 600.77, 901.32 and 235.66 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 901.32 = 235.66 : x
  2. Step 2: Convert to fraction form
    600.77/901.32 = 235.66/x
  3. Step 3: Cross multiply
    600.77x = 901.32 × 235.66
  4. Step 4: Simplify right side
    600.77x = 212,403.89
  5. Step 5: Solve for x
    x = 212,403.89/600.77
  6. Step 6: Final answer
    x = 353.56

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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.