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Finding the Fourth Proportional to 677.66, 935.02 and 412.04

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Solution

The fourth proportional to 677.66, 935.02 and 412.04 is: 568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 935.02 = 412.04 : x
  2. Step 2: Convert to fraction form
    677.66/935.02 = 412.04/x
  3. Step 3: Cross multiply
    677.66x = 935.02 × 412.04
  4. Step 4: Simplify right side
    677.66x = 385,265.64
  5. Step 5: Solve for x
    x = 385,265.64/677.66
  6. Step 6: Final answer
    x = 568.52

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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.