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Finding the Fourth Proportional to 602.24, 903.17 and 255.51

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Solution

The fourth proportional to 602.24, 903.17 and 255.51 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.24 : 903.17 = 255.51 : x
  2. Step 2: Convert to fraction form
    602.24/903.17 = 255.51/x
  3. Step 3: Cross multiply
    602.24x = 903.17 × 255.51
  4. Step 4: Simplify right side
    602.24x = 230,767.69
  5. Step 5: Solve for x
    x = 230,767.69/602.24
  6. Step 6: Final answer
    x = 383.19

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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.