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Finding the Fourth Proportional to 685.74, 946.31 and 375.24

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Solution

The fourth proportional to 685.74, 946.31 and 375.24 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.74 : 946.31 = 375.24 : x
  2. Step 2: Convert to fraction form
    685.74/946.31 = 375.24/x
  3. Step 3: Cross multiply
    685.74x = 946.31 × 375.24
  4. Step 4: Simplify right side
    685.74x = 355,090.04
  5. Step 5: Solve for x
    x = 355,090.04/685.74
  6. Step 6: Final answer
    x = 517.82

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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.