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Finding the Fourth Proportional to 498.65, 688.17 and 288.84

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Solution

The fourth proportional to 498.65, 688.17 and 288.84 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 688.17 = 288.84 : x
  2. Step 2: Convert to fraction form
    498.65/688.17 = 288.84/x
  3. Step 3: Cross multiply
    498.65x = 688.17 × 288.84
  4. Step 4: Simplify right side
    498.65x = 198,771.02
  5. Step 5: Solve for x
    x = 198,771.02/498.65
  6. Step 6: Final answer
    x = 398.62

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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.