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Finding the Fourth Proportional to 512.24, 706.86 and 291.24

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Solution

The fourth proportional to 512.24, 706.86 and 291.24 is: 401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 706.86 = 291.24 : x
  2. Step 2: Convert to fraction form
    512.24/706.86 = 291.24/x
  3. Step 3: Cross multiply
    512.24x = 706.86 × 291.24
  4. Step 4: Simplify right side
    512.24x = 205,865.91
  5. Step 5: Solve for x
    x = 205,865.91/512.24
  6. Step 6: Final answer
    x = 401.89

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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.