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Finding the Fourth Proportional to 601.11, 901.76 and 308.45

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Solution

The fourth proportional to 601.11, 901.76 and 308.45 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.11 : 901.76 = 308.45 : x
  2. Step 2: Convert to fraction form
    601.11/901.76 = 308.45/x
  3. Step 3: Cross multiply
    601.11x = 901.76 × 308.45
  4. Step 4: Simplify right side
    601.11x = 278,148.58
  5. Step 5: Solve for x
    x = 278,148.58/601.11
  6. Step 6: Final answer
    x = 462.72

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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.