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Finding the Fourth Proportional to 685.86, 946.34 and 406.10

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Solution

The fourth proportional to 685.86, 946.34 and 406.10 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 946.34 = 406.10 : x
  2. Step 2: Convert to fraction form
    685.86/946.34 = 406.10/x
  3. Step 3: Cross multiply
    685.86x = 946.34 × 406.10
  4. Step 4: Simplify right side
    685.86x = 384,308.67
  5. Step 5: Solve for x
    x = 384,308.67/685.86
  6. Step 6: Final answer
    x = 560.33

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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.