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Finding the Fourth Proportional to 677.78, 935.43 and 412.23

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Solution

The fourth proportional to 677.78, 935.43 and 412.23 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 935.43 = 412.23 : x
  2. Step 2: Convert to fraction form
    677.78/935.43 = 412.23/x
  3. Step 3: Cross multiply
    677.78x = 935.43 × 412.23
  4. Step 4: Simplify right side
    677.78x = 385,612.31
  5. Step 5: Solve for x
    x = 385,612.31/677.78
  6. Step 6: Final answer
    x = 568.93

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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.