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Finding the Fourth Proportional to 498.57, 687.99 and 288.72

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Solution

The fourth proportional to 498.57, 687.99 and 288.72 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.57 : 687.99 = 288.72 : x
  2. Step 2: Convert to fraction form
    498.57/687.99 = 288.72/x
  3. Step 3: Cross multiply
    498.57x = 687.99 × 288.72
  4. Step 4: Simplify right side
    498.57x = 198,636.47
  5. Step 5: Solve for x
    x = 198,636.47/498.57
  6. Step 6: Final answer
    x = 398.41

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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.