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Finding the Fourth Proportional to 677.27, 934.63 and 378.51

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Solution

The fourth proportional to 677.27, 934.63 and 378.51 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.27 : 934.63 = 378.51 : x
  2. Step 2: Convert to fraction form
    677.27/934.63 = 378.51/x
  3. Step 3: Cross multiply
    677.27x = 934.63 × 378.51
  4. Step 4: Simplify right side
    677.27x = 353,766.80
  5. Step 5: Solve for x
    x = 353,766.80/677.27
  6. Step 6: Final answer
    x = 522.34

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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.