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Finding the Fourth Proportional to 573.96, 860.30 and 527.83

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Solution

The fourth proportional to 573.96, 860.30 and 527.83 is: 791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.96 : 860.30 = 527.83 : x
  2. Step 2: Convert to fraction form
    573.96/860.30 = 527.83/x
  3. Step 3: Cross multiply
    573.96x = 860.30 × 527.83
  4. Step 4: Simplify right side
    573.96x = 454,092.15
  5. Step 5: Solve for x
    x = 454,092.15/573.96
  6. Step 6: Final answer
    x = 791.16

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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.