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Finding the Fourth Proportional to 498.24, 687.36 and 290.88

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Solution

The fourth proportional to 498.24, 687.36 and 290.88 is: 401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 687.36 = 290.88 : x
  2. Step 2: Convert to fraction form
    498.24/687.36 = 290.88/x
  3. Step 3: Cross multiply
    498.24x = 687.36 × 290.88
  4. Step 4: Simplify right side
    498.24x = 199,939.28
  5. Step 5: Solve for x
    x = 199,939.28/498.24
  6. Step 6: Final answer
    x = 401.29

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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.