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Finding the Fourth Proportional to 512.33, 707.09 and 291.24

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Solution

The fourth proportional to 512.33, 707.09 and 291.24 is: 401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 707.09 = 291.24 : x
  2. Step 2: Convert to fraction form
    512.33/707.09 = 291.24/x
  3. Step 3: Cross multiply
    512.33x = 707.09 × 291.24
  4. Step 4: Simplify right side
    512.33x = 205,932.89
  5. Step 5: Solve for x
    x = 205,932.89/512.33
  6. Step 6: Final answer
    x = 401.95

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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.