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Finding the Fourth Proportional to 498.70, 688.34 and 323.74

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Solution

The fourth proportional to 498.70, 688.34 and 323.74 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.70 : 688.34 = 323.74 : x
  2. Step 2: Convert to fraction form
    498.70/688.34 = 323.74/x
  3. Step 3: Cross multiply
    498.70x = 688.34 × 323.74
  4. Step 4: Simplify right side
    498.70x = 222,838.13
  5. Step 5: Solve for x
    x = 222,838.13/498.70
  6. Step 6: Final answer
    x = 446.84

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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.