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Finding the Fourth Proportional to 494.24, 681.78 and 307.67

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Solution

The fourth proportional to 494.24, 681.78 and 307.67 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.24 : 681.78 = 307.67 : x
  2. Step 2: Convert to fraction form
    494.24/681.78 = 307.67/x
  3. Step 3: Cross multiply
    494.24x = 681.78 × 307.67
  4. Step 4: Simplify right side
    494.24x = 209,761.00
  5. Step 5: Solve for x
    x = 209,761.00/494.24
  6. Step 6: Final answer
    x = 424.42

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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.