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Finding the Fourth Proportional to 592.26, 886.22 and 520.98

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Solution

The fourth proportional to 592.26, 886.22 and 520.98 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.26 : 886.22 = 520.98 : x
  2. Step 2: Convert to fraction form
    592.26/886.22 = 520.98/x
  3. Step 3: Cross multiply
    592.26x = 886.22 × 520.98
  4. Step 4: Simplify right side
    592.26x = 461,702.90
  5. Step 5: Solve for x
    x = 461,702.90/592.26
  6. Step 6: Final answer
    x = 779.56

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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.