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Finding the Fourth Proportional to 577.70, 868.35 and 566.90

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Solution

The fourth proportional to 577.70, 868.35 and 566.90 is: 852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.70 : 868.35 = 566.90 : x
  2. Step 2: Convert to fraction form
    577.70/868.35 = 566.90/x
  3. Step 3: Cross multiply
    577.70x = 868.35 × 566.90
  4. Step 4: Simplify right side
    577.70x = 492,267.62
  5. Step 5: Solve for x
    x = 492,267.62/577.70
  6. Step 6: Final answer
    x = 852.12

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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.