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Finding the Fourth Proportional to 402.62, 554.64 and 319.70

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Solution

The fourth proportional to 402.62, 554.64 and 319.70 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 554.64 = 319.70 : x
  2. Step 2: Convert to fraction form
    402.62/554.64 = 319.70/x
  3. Step 3: Cross multiply
    402.62x = 554.64 × 319.70
  4. Step 4: Simplify right side
    402.62x = 177,318.41
  5. Step 5: Solve for x
    x = 177,318.41/402.62
  6. Step 6: Final answer
    x = 440.41

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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.