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Finding the Fourth Proportional to 494.04, 682.10 and 307.81

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Solution

The fourth proportional to 494.04, 682.10 and 307.81 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 682.10 = 307.81 : x
  2. Step 2: Convert to fraction form
    494.04/682.10 = 307.81/x
  3. Step 3: Cross multiply
    494.04x = 682.10 × 307.81
  4. Step 4: Simplify right side
    494.04x = 209,957.67
  5. Step 5: Solve for x
    x = 209,957.67/494.04
  6. Step 6: Final answer
    x = 424.98

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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.