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Finding the Fourth Proportional to 484.49, 726.77 and 176.34

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Solution

The fourth proportional to 484.49, 726.77 and 176.34 is: 264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.49 : 726.77 = 176.34 : x
  2. Step 2: Convert to fraction form
    484.49/726.77 = 176.34/x
  3. Step 3: Cross multiply
    484.49x = 726.77 × 176.34
  4. Step 4: Simplify right side
    484.49x = 128,158.62
  5. Step 5: Solve for x
    x = 128,158.62/484.49
  6. Step 6: Final answer
    x = 264.52

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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.