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Finding the Fourth Proportional to 677.42, 934.85 and 411.95

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Solution

The fourth proportional to 677.42, 934.85 and 411.95 is: 568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.42 : 934.85 = 411.95 : x
  2. Step 2: Convert to fraction form
    677.42/934.85 = 411.95/x
  3. Step 3: Cross multiply
    677.42x = 934.85 × 411.95
  4. Step 4: Simplify right side
    677.42x = 385,110.75
  5. Step 5: Solve for x
    x = 385,110.75/677.42
  6. Step 6: Final answer
    x = 568.49

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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.