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Finding the Fourth Proportional to 602.67, 903.99 and 255.92

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Solution

The fourth proportional to 602.67, 903.99 and 255.92 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.67 : 903.99 = 255.92 : x
  2. Step 2: Convert to fraction form
    602.67/903.99 = 255.92/x
  3. Step 3: Cross multiply
    602.67x = 903.99 × 255.92
  4. Step 4: Simplify right side
    602.67x = 231,349.12
  5. Step 5: Solve for x
    x = 231,349.12/602.67
  6. Step 6: Final answer
    x = 383.87

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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.