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Finding the Fourth Proportional to 685.88, 946.14 and 406.04

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Solution

The fourth proportional to 685.88, 946.14 and 406.04 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 946.14 = 406.04 : x
  2. Step 2: Convert to fraction form
    685.88/946.14 = 406.04/x
  3. Step 3: Cross multiply
    685.88x = 946.14 × 406.04
  4. Step 4: Simplify right side
    685.88x = 384,170.69
  5. Step 5: Solve for x
    x = 384,170.69/685.88
  6. Step 6: Final answer
    x = 560.11

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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.