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Finding the Fourth Proportional to 498.23, 687.64 and 288.37

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Solution

The fourth proportional to 498.23, 687.64 and 288.37 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 687.64 = 288.37 : x
  2. Step 2: Convert to fraction form
    498.23/687.64 = 288.37/x
  3. Step 3: Cross multiply
    498.23x = 687.64 × 288.37
  4. Step 4: Simplify right side
    498.23x = 198,294.75
  5. Step 5: Solve for x
    x = 198,294.75/498.23
  6. Step 6: Final answer
    x = 398.00

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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.