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Finding the Fourth Proportional to 677.72, 935.18 and 412.23

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Solution

The fourth proportional to 677.72, 935.18 and 412.23 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.72 : 935.18 = 412.23 : x
  2. Step 2: Convert to fraction form
    677.72/935.18 = 412.23/x
  3. Step 3: Cross multiply
    677.72x = 935.18 × 412.23
  4. Step 4: Simplify right side
    677.72x = 385,510.28
  5. Step 5: Solve for x
    x = 385,510.28/677.72
  6. Step 6: Final answer
    x = 568.83

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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.