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Finding the Fourth Proportional to 511.64, 706.12 and 290.60

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Solution

The fourth proportional to 511.64, 706.12 and 290.60 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.64 : 706.12 = 290.60 : x
  2. Step 2: Convert to fraction form
    511.64/706.12 = 290.60/x
  3. Step 3: Cross multiply
    511.64x = 706.12 × 290.60
  4. Step 4: Simplify right side
    511.64x = 205,198.47
  5. Step 5: Solve for x
    x = 205,198.47/511.64
  6. Step 6: Final answer
    x = 401.06

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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.