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Finding the Fourth Proportional to 484.29, 726.51 and 176.09

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Solution

The fourth proportional to 484.29, 726.51 and 176.09 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.29 : 726.51 = 176.09 : x
  2. Step 2: Convert to fraction form
    484.29/726.51 = 176.09/x
  3. Step 3: Cross multiply
    484.29x = 726.51 × 176.09
  4. Step 4: Simplify right side
    484.29x = 127,927.51
  5. Step 5: Solve for x
    x = 127,927.51/484.29
  6. Step 6: Final answer
    x = 264.15

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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.