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Finding the Fourth Proportional to 524.78, 723.90 and 327.95

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Solution

The fourth proportional to 524.78, 723.90 and 327.95 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.78 : 723.90 = 327.95 : x
  2. Step 2: Convert to fraction form
    524.78/723.90 = 327.95/x
  3. Step 3: Cross multiply
    524.78x = 723.90 × 327.95
  4. Step 4: Simplify right side
    524.78x = 237,403.01
  5. Step 5: Solve for x
    x = 237,403.01/524.78
  6. Step 6: Final answer
    x = 452.39

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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.