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Finding the Fourth Proportional to 602.40, 903.25 and 255.67

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Solution

The fourth proportional to 602.40, 903.25 and 255.67 is: 383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 903.25 = 255.67 : x
  2. Step 2: Convert to fraction form
    602.40/903.25 = 255.67/x
  3. Step 3: Cross multiply
    602.40x = 903.25 × 255.67
  4. Step 4: Simplify right side
    602.40x = 230,933.93
  5. Step 5: Solve for x
    x = 230,933.93/602.40
  6. Step 6: Final answer
    x = 383.36

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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.