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Finding the Fourth Proportional to 498.68, 688.26 and 380.82

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Solution

The fourth proportional to 498.68, 688.26 and 380.82 is: 525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.68 : 688.26 = 380.82 : x
  2. Step 2: Convert to fraction form
    498.68/688.26 = 380.82/x
  3. Step 3: Cross multiply
    498.68x = 688.26 × 380.82
  4. Step 4: Simplify right side
    498.68x = 262,103.17
  5. Step 5: Solve for x
    x = 262,103.17/498.68
  6. Step 6: Final answer
    x = 525.59

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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.