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Finding the Fourth Proportional to 601.61, 901.63 and 308.86

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Solution

The fourth proportional to 601.61, 901.63 and 308.86 is: 462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.61 : 901.63 = 308.86 : x
  2. Step 2: Convert to fraction form
    601.61/901.63 = 308.86/x
  3. Step 3: Cross multiply
    601.61x = 901.63 × 308.86
  4. Step 4: Simplify right side
    601.61x = 278,477.44
  5. Step 5: Solve for x
    x = 278,477.44/601.61
  6. Step 6: Final answer
    x = 462.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.