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Finding the Fourth Proportional to 493.88, 681.42 and 319

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Solution

The fourth proportional to 493.88, 681.42 and 319 is: 440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.88 : 681.42 = 319 : x
  2. Step 2: Convert to fraction form
    493.88/681.42 = 319/x
  3. Step 3: Cross multiply
    493.88x = 681.42 × 319
  4. Step 4: Simplify right side
    493.88x = 217,372.98
  5. Step 5: Solve for x
    x = 217,372.98/493.88
  6. Step 6: Final answer
    x = 440.13

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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.