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Finding the Fourth Proportional to 686.16, 946.90 and 375.66

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Solution

The fourth proportional to 686.16, 946.90 and 375.66 is: 518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 946.90 = 375.66 : x
  2. Step 2: Convert to fraction form
    686.16/946.90 = 375.66/x
  3. Step 3: Cross multiply
    686.16x = 946.90 × 375.66
  4. Step 4: Simplify right side
    686.16x = 355,711.51
  5. Step 5: Solve for x
    x = 355,711.51/686.16
  6. Step 6: Final answer
    x = 518.41

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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.