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Finding the Fourth Proportional to 524.02, 723.28 and 327.42

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Solution

The fourth proportional to 524.02, 723.28 and 327.42 is: 451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 723.28 = 327.42 : x
  2. Step 2: Convert to fraction form
    524.02/723.28 = 327.42/x
  3. Step 3: Cross multiply
    524.02x = 723.28 × 327.42
  4. Step 4: Simplify right side
    524.02x = 236,816.34
  5. Step 5: Solve for x
    x = 236,816.34/524.02
  6. Step 6: Final answer
    x = 451.92

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