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Finding the Fourth Proportional to 566.97, 851.24 and 293.26

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Solution

The fourth proportional to 566.97, 851.24 and 293.26 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 851.24 = 293.26 : x
  2. Step 2: Convert to fraction form
    566.97/851.24 = 293.26/x
  3. Step 3: Cross multiply
    566.97x = 851.24 × 293.26
  4. Step 4: Simplify right side
    566.97x = 249,634.64
  5. Step 5: Solve for x
    x = 249,634.64/566.97
  6. Step 6: Final answer
    x = 440.30

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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.