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Finding the Fourth Proportional to 677.07, 934.11 and 411.48

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Solution

The fourth proportional to 677.07, 934.11 and 411.48 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.07 : 934.11 = 411.48 : x
  2. Step 2: Convert to fraction form
    677.07/934.11 = 411.48/x
  3. Step 3: Cross multiply
    677.07x = 934.11 × 411.48
  4. Step 4: Simplify right side
    677.07x = 384,367.58
  5. Step 5: Solve for x
    x = 384,367.58/677.07
  6. Step 6: Final answer
    x = 567.69

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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.