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Finding the Fourth Proportional to 677.66, 935.19 and 412.02

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Solution

The fourth proportional to 677.66, 935.19 and 412.02 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 935.19 = 412.02 : x
  2. Step 2: Convert to fraction form
    677.66/935.19 = 412.02/x
  3. Step 3: Cross multiply
    677.66x = 935.19 × 412.02
  4. Step 4: Simplify right side
    677.66x = 385,316.98
  5. Step 5: Solve for x
    x = 385,316.98/677.66
  6. Step 6: Final answer
    x = 568.60

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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.