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Finding the Fourth Proportional to 524.96, 723.84 and 426.42

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Solution

The fourth proportional to 524.96, 723.84 and 426.42 is: 587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 723.84 = 426.42 : x
  2. Step 2: Convert to fraction form
    524.96/723.84 = 426.42/x
  3. Step 3: Cross multiply
    524.96x = 723.84 × 426.42
  4. Step 4: Simplify right side
    524.96x = 308,659.85
  5. Step 5: Solve for x
    x = 308,659.85/524.96
  6. Step 6: Final answer
    x = 587.97

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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.