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Finding the Fourth Proportional to 484.35, 726.53 and 268.35

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Solution

The fourth proportional to 484.35, 726.53 and 268.35 is: 402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.35 : 726.53 = 268.35 : x
  2. Step 2: Convert to fraction form
    484.35/726.53 = 268.35/x
  3. Step 3: Cross multiply
    484.35x = 726.53 × 268.35
  4. Step 4: Simplify right side
    484.35x = 194,962.98
  5. Step 5: Solve for x
    x = 194,962.98/484.35
  6. Step 6: Final answer
    x = 402.53

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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.