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Finding the Fourth Proportional to 601.19, 901.93 and 308.57

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Solution

The fourth proportional to 601.19, 901.93 and 308.57 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.19 : 901.93 = 308.57 : x
  2. Step 2: Convert to fraction form
    601.19/901.93 = 308.57/x
  3. Step 3: Cross multiply
    601.19x = 901.93 × 308.57
  4. Step 4: Simplify right side
    601.19x = 278,308.54
  5. Step 5: Solve for x
    x = 278,308.54/601.19
  6. Step 6: Final answer
    x = 462.93

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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.