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Finding the Fourth Proportional to 685.50, 946.01 and 375.02

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Solution

The fourth proportional to 685.50, 946.01 and 375.02 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.50 : 946.01 = 375.02 : x
  2. Step 2: Convert to fraction form
    685.50/946.01 = 375.02/x
  3. Step 3: Cross multiply
    685.50x = 946.01 × 375.02
  4. Step 4: Simplify right side
    685.50x = 354,772.67
  5. Step 5: Solve for x
    x = 354,772.67/685.50
  6. Step 6: Final answer
    x = 517.54

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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.