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Finding the Fourth Proportional to 498.68, 688.12 and 286.01

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Solution

The fourth proportional to 498.68, 688.12 and 286.01 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.68 : 688.12 = 286.01 : x
  2. Step 2: Convert to fraction form
    498.68/688.12 = 286.01/x
  3. Step 3: Cross multiply
    498.68x = 688.12 × 286.01
  4. Step 4: Simplify right side
    498.68x = 196,806.50
  5. Step 5: Solve for x
    x = 196,806.50/498.68
  6. Step 6: Final answer
    x = 394.65

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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.