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Finding the Fourth Proportional to 677.67, 935.19 and 378.92

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Solution

The fourth proportional to 677.67, 935.19 and 378.92 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 935.19 = 378.92 : x
  2. Step 2: Convert to fraction form
    677.67/935.19 = 378.92/x
  3. Step 3: Cross multiply
    677.67x = 935.19 × 378.92
  4. Step 4: Simplify right side
    677.67x = 354,357.52
  5. Step 5: Solve for x
    x = 354,357.52/677.67
  6. Step 6: Final answer
    x = 522.91

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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.