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Finding the Fourth Proportional to 524.08, 723.18 and 291.19

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Solution

The fourth proportional to 524.08, 723.18 and 291.19 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.08 : 723.18 = 291.19 : x
  2. Step 2: Convert to fraction form
    524.08/723.18 = 291.19/x
  3. Step 3: Cross multiply
    524.08x = 723.18 × 291.19
  4. Step 4: Simplify right side
    524.08x = 210,582.78
  5. Step 5: Solve for x
    x = 210,582.78/524.08
  6. Step 6: Final answer
    x = 401.81

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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.