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Finding the Fourth Proportional to 592.52, 886.92 and 408.84

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Solution

The fourth proportional to 592.52, 886.92 and 408.84 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.52 : 886.92 = 408.84 : x
  2. Step 2: Convert to fraction form
    592.52/886.92 = 408.84/x
  3. Step 3: Cross multiply
    592.52x = 886.92 × 408.84
  4. Step 4: Simplify right side
    592.52x = 362,608.37
  5. Step 5: Solve for x
    x = 362,608.37/592.52
  6. Step 6: Final answer
    x = 611.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.