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Finding the Fourth Proportional to 577.02, 865.03 and 252.14

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Solution

The fourth proportional to 577.02, 865.03 and 252.14 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 865.03 = 252.14 : x
  2. Step 2: Convert to fraction form
    577.02/865.03 = 252.14/x
  3. Step 3: Cross multiply
    577.02x = 865.03 × 252.14
  4. Step 4: Simplify right side
    577.02x = 218,108.66
  5. Step 5: Solve for x
    x = 218,108.66/577.02
  6. Step 6: Final answer
    x = 377.99

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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.