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Finding the Fourth Proportional to 686.09, 946.71 and 387.34

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Solution

The fourth proportional to 686.09, 946.71 and 387.34 is: 534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.09 : 946.71 = 387.34 : x
  2. Step 2: Convert to fraction form
    686.09/946.71 = 387.34/x
  3. Step 3: Cross multiply
    686.09x = 946.71 × 387.34
  4. Step 4: Simplify right side
    686.09x = 366,698.65
  5. Step 5: Solve for x
    x = 366,698.65/686.09
  6. Step 6: Final answer
    x = 534.48

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Double scale
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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.