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Finding the Fourth Proportional to 677.70, 934.92 and 412.16

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Solution

The fourth proportional to 677.70, 934.92 and 412.16 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 934.92 = 412.16 : x
  2. Step 2: Convert to fraction form
    677.70/934.92 = 412.16/x
  3. Step 3: Cross multiply
    677.70x = 934.92 × 412.16
  4. Step 4: Simplify right side
    677.70x = 385,331.95
  5. Step 5: Solve for x
    x = 385,331.95/677.70
  6. Step 6: Final answer
    x = 568.59

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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.