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Finding the Fourth Proportional to 493.73, 681.49 and 307.11

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Solution

The fourth proportional to 493.73, 681.49 and 307.11 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.73 : 681.49 = 307.11 : x
  2. Step 2: Convert to fraction form
    493.73/681.49 = 307.11/x
  3. Step 3: Cross multiply
    493.73x = 681.49 × 307.11
  4. Step 4: Simplify right side
    493.73x = 209,292.90
  5. Step 5: Solve for x
    x = 209,292.90/493.73
  6. Step 6: Final answer
    x = 423.90

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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.