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Finding the Fourth Proportional to 686.07, 946.79 and 416.89

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Solution

The fourth proportional to 686.07, 946.79 and 416.89 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 946.79 = 416.89 : x
  2. Step 2: Convert to fraction form
    686.07/946.79 = 416.89/x
  3. Step 3: Cross multiply
    686.07x = 946.79 × 416.89
  4. Step 4: Simplify right side
    686.07x = 394,703.59
  5. Step 5: Solve for x
    x = 394,703.59/686.07
  6. Step 6: Final answer
    x = 575.32

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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.