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Finding the Fourth Proportional to 601.11, 902.40 and 394.95

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Solution

The fourth proportional to 601.11, 902.40 and 394.95 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.11 : 902.40 = 394.95 : x
  2. Step 2: Convert to fraction form
    601.11/902.40 = 394.95/x
  3. Step 3: Cross multiply
    601.11x = 902.40 × 394.95
  4. Step 4: Simplify right side
    601.11x = 356,402.88
  5. Step 5: Solve for x
    x = 356,402.88/601.11
  6. Step 6: Final answer
    x = 592.91

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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.