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Finding the Fourth Proportional to 431.01, 594.75 and 265.23

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Solution

The fourth proportional to 431.01, 594.75 and 265.23 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 594.75 = 265.23 : x
  2. Step 2: Convert to fraction form
    431.01/594.75 = 265.23/x
  3. Step 3: Cross multiply
    431.01x = 594.75 × 265.23
  4. Step 4: Simplify right side
    431.01x = 157,745.54
  5. Step 5: Solve for x
    x = 157,745.54/431.01
  6. Step 6: Final answer
    x = 365.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.