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Finding the Fourth Proportional to 512.11, 706.71 and 291.06

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Solution

The fourth proportional to 512.11, 706.71 and 291.06 is: 401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.11 : 706.71 = 291.06 : x
  2. Step 2: Convert to fraction form
    512.11/706.71 = 291.06/x
  3. Step 3: Cross multiply
    512.11x = 706.71 × 291.06
  4. Step 4: Simplify right side
    512.11x = 205,695.01
  5. Step 5: Solve for x
    x = 205,695.01/512.11
  6. Step 6: Final answer
    x = 401.66

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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.