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Finding the Fourth Proportional to 551.52, 760.44 and 411.84

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Solution

The fourth proportional to 551.52, 760.44 and 411.84 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.52 : 760.44 = 411.84 : x
  2. Step 2: Convert to fraction form
    551.52/760.44 = 411.84/x
  3. Step 3: Cross multiply
    551.52x = 760.44 × 411.84
  4. Step 4: Simplify right side
    551.52x = 313,179.61
  5. Step 5: Solve for x
    x = 313,179.61/551.52
  6. Step 6: Final answer
    x = 567.85

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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.