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Finding the Fourth Proportional to 685.88, 946.51 and 375.38

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Solution

The fourth proportional to 685.88, 946.51 and 375.38 is: 518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 946.51 = 375.38 : x
  2. Step 2: Convert to fraction form
    685.88/946.51 = 375.38/x
  3. Step 3: Cross multiply
    685.88x = 946.51 × 375.38
  4. Step 4: Simplify right side
    685.88x = 355,300.92
  5. Step 5: Solve for x
    x = 355,300.92/685.88
  6. Step 6: Final answer
    x = 518.02

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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.