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Finding the Fourth Proportional to 524.06, 723.14 and 291.20

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Solution

The fourth proportional to 524.06, 723.14 and 291.20 is: 401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 723.14 = 291.20 : x
  2. Step 2: Convert to fraction form
    524.06/723.14 = 291.20/x
  3. Step 3: Cross multiply
    524.06x = 723.14 × 291.20
  4. Step 4: Simplify right side
    524.06x = 210,578.37
  5. Step 5: Solve for x
    x = 210,578.37/524.06
  6. Step 6: Final answer
    x = 401.82

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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.