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Finding the Fourth Proportional to 484.41, 726.27 and 253.17

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Solution

The fourth proportional to 484.41, 726.27 and 253.17 is: 379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.41 : 726.27 = 253.17 : x
  2. Step 2: Convert to fraction form
    484.41/726.27 = 253.17/x
  3. Step 3: Cross multiply
    484.41x = 726.27 × 253.17
  4. Step 4: Simplify right side
    484.41x = 183,869.78
  5. Step 5: Solve for x
    x = 183,869.78/484.41
  6. Step 6: Final answer
    x = 379.57

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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.