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Finding the Fourth Proportional to 686.21, 946.88 and 406.38

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Solution

The fourth proportional to 686.21, 946.88 and 406.38 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.21 : 946.88 = 406.38 : x
  2. Step 2: Convert to fraction form
    686.21/946.88 = 406.38/x
  3. Step 3: Cross multiply
    686.21x = 946.88 × 406.38
  4. Step 4: Simplify right side
    686.21x = 384,791.95
  5. Step 5: Solve for x
    x = 384,791.95/686.21
  6. Step 6: Final answer
    x = 560.75

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1.5x scale

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.