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Finding the Fourth Proportional to 524.56, 723.62 and 328.19

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Solution

The fourth proportional to 524.56, 723.62 and 328.19 is: 452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 723.62 = 328.19 : x
  2. Step 2: Convert to fraction form
    524.56/723.62 = 328.19/x
  3. Step 3: Cross multiply
    524.56x = 723.62 × 328.19
  4. Step 4: Simplify right side
    524.56x = 237,484.85
  5. Step 5: Solve for x
    x = 237,484.85/524.56
  6. Step 6: Final answer
    x = 452.73

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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.