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Finding the Fourth Proportional to 677.92, 935.57 and 412.54

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Solution

The fourth proportional to 677.92, 935.57 and 412.54 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.92 : 935.57 = 412.54 : x
  2. Step 2: Convert to fraction form
    677.92/935.57 = 412.54/x
  3. Step 3: Cross multiply
    677.92x = 935.57 × 412.54
  4. Step 4: Simplify right side
    677.92x = 385,960.05
  5. Step 5: Solve for x
    x = 385,960.05/677.92
  6. Step 6: Final answer
    x = 569.33

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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.