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Finding the Fourth Proportional to 484.23, 726.43 and 176.14

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Solution

The fourth proportional to 484.23, 726.43 and 176.14 is: 264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 726.43 = 176.14 : x
  2. Step 2: Convert to fraction form
    484.23/726.43 = 176.14/x
  3. Step 3: Cross multiply
    484.23x = 726.43 × 176.14
  4. Step 4: Simplify right side
    484.23x = 127,953.38
  5. Step 5: Solve for x
    x = 127,953.38/484.23
  6. Step 6: Final answer
    x = 264.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.