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Finding the Fourth Proportional to 677.62, 935.11 and 412.14

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Solution

The fourth proportional to 677.62, 935.11 and 412.14 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 935.11 = 412.14 : x
  2. Step 2: Convert to fraction form
    677.62/935.11 = 412.14/x
  3. Step 3: Cross multiply
    677.62x = 935.11 × 412.14
  4. Step 4: Simplify right side
    677.62x = 385,396.24
  5. Step 5: Solve for x
    x = 385,396.24/677.62
  6. Step 6: Final answer
    x = 568.75

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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.