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Finding the Fourth Proportional to 686.62, 946.29 and 490.06

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Solution

The fourth proportional to 686.62, 946.29 and 490.06 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.62 : 946.29 = 490.06 : x
  2. Step 2: Convert to fraction form
    686.62/946.29 = 490.06/x
  3. Step 3: Cross multiply
    686.62x = 946.29 × 490.06
  4. Step 4: Simplify right side
    686.62x = 463,738.88
  5. Step 5: Solve for x
    x = 463,738.88/686.62
  6. Step 6: Final answer
    x = 675.39

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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.