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Finding the Fourth Proportional to 498.67, 687.99 and 288.77

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Solution

The fourth proportional to 498.67, 687.99 and 288.77 is: 398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.67 : 687.99 = 288.77 : x
  2. Step 2: Convert to fraction form
    498.67/687.99 = 288.77/x
  3. Step 3: Cross multiply
    498.67x = 687.99 × 288.77
  4. Step 4: Simplify right side
    498.67x = 198,670.87
  5. Step 5: Solve for x
    x = 198,670.87/498.67
  6. Step 6: Final answer
    x = 398.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.