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Finding the Fourth Proportional to 524.15, 723.36 and 291.27

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Solution

The fourth proportional to 524.15, 723.36 and 291.27 is: 401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 723.36 = 291.27 : x
  2. Step 2: Convert to fraction form
    524.15/723.36 = 291.27/x
  3. Step 3: Cross multiply
    524.15x = 723.36 × 291.27
  4. Step 4: Simplify right side
    524.15x = 210,693.07
  5. Step 5: Solve for x
    x = 210,693.07/524.15
  6. Step 6: Final answer
    x = 401.97

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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.