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Finding the Fourth Proportional to 685.63, 946.17 and 375.13

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Solution

The fourth proportional to 685.63, 946.17 and 375.13 is: 517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.63 : 946.17 = 375.13 : x
  2. Step 2: Convert to fraction form
    685.63/946.17 = 375.13/x
  3. Step 3: Cross multiply
    685.63x = 946.17 × 375.13
  4. Step 4: Simplify right side
    685.63x = 354,936.75
  5. Step 5: Solve for x
    x = 354,936.75/685.63
  6. Step 6: Final answer
    x = 517.68

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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.