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Finding the Fourth Proportional to 524.46, 723.99 and 377.82

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Solution

The fourth proportional to 524.46, 723.99 and 377.82 is: 521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.46 : 723.99 = 377.82 : x
  2. Step 2: Convert to fraction form
    524.46/723.99 = 377.82/x
  3. Step 3: Cross multiply
    524.46x = 723.99 × 377.82
  4. Step 4: Simplify right side
    524.46x = 273,537.90
  5. Step 5: Solve for x
    x = 273,537.90/524.46
  6. Step 6: Final answer
    x = 521.56

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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.