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Finding the Fourth Proportional to 685.70, 946.26 and 375.20

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Solution

The fourth proportional to 685.70, 946.26 and 375.20 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.70 : 946.26 = 375.20 : x
  2. Step 2: Convert to fraction form
    685.70/946.26 = 375.20/x
  3. Step 3: Cross multiply
    685.70x = 946.26 × 375.20
  4. Step 4: Simplify right side
    685.70x = 355,032.02
  5. Step 5: Solve for x
    x = 355,032.02/685.70
  6. Step 6: Final answer
    x = 517.77

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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.