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Finding the Fourth Proportional to 524.16, 723.45 and 327.54

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Solution

The fourth proportional to 524.16, 723.45 and 327.54 is: 452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 723.45 = 327.54 : x
  2. Step 2: Convert to fraction form
    524.16/723.45 = 327.54/x
  3. Step 3: Cross multiply
    524.16x = 723.45 × 327.54
  4. Step 4: Simplify right side
    524.16x = 236,958.81
  5. Step 5: Solve for x
    x = 236,958.81/524.16
  6. Step 6: Final answer
    x = 452.07

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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.