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Finding the Fourth Proportional to 686.43, 946.89 and 490.23

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Solution

The fourth proportional to 686.43, 946.89 and 490.23 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.43 : 946.89 = 490.23 : x
  2. Step 2: Convert to fraction form
    686.43/946.89 = 490.23/x
  3. Step 3: Cross multiply
    686.43x = 946.89 × 490.23
  4. Step 4: Simplify right side
    686.43x = 464,193.88
  5. Step 5: Solve for x
    x = 464,193.88/686.43
  6. Step 6: Final answer
    x = 676.24

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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.