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Finding the Fourth Proportional to 494.16, 681.54 and 406.68

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Solution

The fourth proportional to 494.16, 681.54 and 406.68 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 681.54 = 406.68 : x
  2. Step 2: Convert to fraction form
    494.16/681.54 = 406.68/x
  3. Step 3: Cross multiply
    494.16x = 681.54 × 406.68
  4. Step 4: Simplify right side
    494.16x = 277,168.69
  5. Step 5: Solve for x
    x = 277,168.69/494.16
  6. Step 6: Final answer
    x = 560.89

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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.