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Finding the Fourth Proportional to 685.60, 946.09 and 375.10

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Solution

The fourth proportional to 685.60, 946.09 and 375.10 is: 517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.60 : 946.09 = 375.10 : x
  2. Step 2: Convert to fraction form
    685.60/946.09 = 375.10/x
  3. Step 3: Cross multiply
    685.60x = 946.09 × 375.10
  4. Step 4: Simplify right side
    685.60x = 354,878.36
  5. Step 5: Solve for x
    x = 354,878.36/685.60
  6. Step 6: Final answer
    x = 517.62

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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.