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Finding the Fourth Proportional to 494.01, 682.07 and 307.58

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Solution

The fourth proportional to 494.01, 682.07 and 307.58 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 682.07 = 307.58 : x
  2. Step 2: Convert to fraction form
    494.01/682.07 = 307.58/x
  3. Step 3: Cross multiply
    494.01x = 682.07 × 307.58
  4. Step 4: Simplify right side
    494.01x = 209,786.14
  5. Step 5: Solve for x
    x = 209,786.14/494.01
  6. Step 6: Final answer
    x = 424.66

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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.