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Finding the Fourth Proportional to 524.04, 723.17 and 327.66

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Solution

The fourth proportional to 524.04, 723.17 and 327.66 is: 452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 723.17 = 327.66 : x
  2. Step 2: Convert to fraction form
    524.04/723.17 = 327.66/x
  3. Step 3: Cross multiply
    524.04x = 723.17 × 327.66
  4. Step 4: Simplify right side
    524.04x = 236,953.88
  5. Step 5: Solve for x
    x = 236,953.88/524.04
  6. Step 6: Final answer
    x = 452.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.