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Finding the Fourth Proportional to 677.52, 934.56 and 411.84

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Solution

The fourth proportional to 677.52, 934.56 and 411.84 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 934.56 = 411.84 : x
  2. Step 2: Convert to fraction form
    677.52/934.56 = 411.84/x
  3. Step 3: Cross multiply
    677.52x = 934.56 × 411.84
  4. Step 4: Simplify right side
    677.52x = 384,889.19
  5. Step 5: Solve for x
    x = 384,889.19/677.52
  6. Step 6: Final answer
    x = 568.09

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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.