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Finding the Fourth Proportional to 601.12, 900.92 and 254.29

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Solution

The fourth proportional to 601.12, 900.92 and 254.29 is: 381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 900.92 = 254.29 : x
  2. Step 2: Convert to fraction form
    601.12/900.92 = 254.29/x
  3. Step 3: Cross multiply
    601.12x = 900.92 × 254.29
  4. Step 4: Simplify right side
    601.12x = 229,095.02
  5. Step 5: Solve for x
    x = 229,095.02/601.12
  6. Step 6: Final answer
    x = 381.11

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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.