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Finding the Fourth Proportional to 577.35, 865.52 and 206.98

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Solution

The fourth proportional to 577.35, 865.52 and 206.98 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 865.52 = 206.98 : x
  2. Step 2: Convert to fraction form
    577.35/865.52 = 206.98/x
  3. Step 3: Cross multiply
    577.35x = 865.52 × 206.98
  4. Step 4: Simplify right side
    577.35x = 179,142.91
  5. Step 5: Solve for x
    x = 179,142.91/577.35
  6. Step 6: Final answer
    x = 310.28

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