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Finding the Fourth Proportional to 602.38, 903.99 and 277.96

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Solution

The fourth proportional to 602.38, 903.99 and 277.96 is: 417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.38 : 903.99 = 277.96 : x
  2. Step 2: Convert to fraction form
    602.38/903.99 = 277.96/x
  3. Step 3: Cross multiply
    602.38x = 903.99 × 277.96
  4. Step 4: Simplify right side
    602.38x = 251,273.06
  5. Step 5: Solve for x
    x = 251,273.06/602.38
  6. Step 6: Final answer
    x = 417.13

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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.