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Finding the Fourth Proportional to 677.46, 934.90 and 415.48

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Solution

The fourth proportional to 677.46, 934.90 and 415.48 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 934.90 = 415.48 : x
  2. Step 2: Convert to fraction form
    677.46/934.90 = 415.48/x
  3. Step 3: Cross multiply
    677.46x = 934.90 × 415.48
  4. Step 4: Simplify right side
    677.46x = 388,432.97
  5. Step 5: Solve for x
    x = 388,432.97/677.46
  6. Step 6: Final answer
    x = 573.36

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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.