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Finding the Fourth Proportional to 677.56, 935.05 and 415.42

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Solution

The fourth proportional to 677.56, 935.05 and 415.42 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.56 : 935.05 = 415.42 : x
  2. Step 2: Convert to fraction form
    677.56/935.05 = 415.42/x
  3. Step 3: Cross multiply
    677.56x = 935.05 × 415.42
  4. Step 4: Simplify right side
    677.56x = 388,438.47
  5. Step 5: Solve for x
    x = 388,438.47/677.56
  6. Step 6: Final answer
    x = 573.29

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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.