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Finding the Fourth Proportional to 577.40, 865.59 and 252.51

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Solution

The fourth proportional to 577.40, 865.59 and 252.51 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.40 : 865.59 = 252.51 : x
  2. Step 2: Convert to fraction form
    577.40/865.59 = 252.51/x
  3. Step 3: Cross multiply
    577.40x = 865.59 × 252.51
  4. Step 4: Simplify right side
    577.40x = 218,568.87
  5. Step 5: Solve for x
    x = 218,568.87/577.40
  6. Step 6: Final answer
    x = 378.54

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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.