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Finding the Fourth Proportional to 511.70, 706.12 and 296.12

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Solution

The fourth proportional to 511.70, 706.12 and 296.12 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 706.12 = 296.12 : x
  2. Step 2: Convert to fraction form
    511.70/706.12 = 296.12/x
  3. Step 3: Cross multiply
    511.70x = 706.12 × 296.12
  4. Step 4: Simplify right side
    511.70x = 209,097.28
  5. Step 5: Solve for x
    x = 209,097.28/511.70
  6. Step 6: Final answer
    x = 408.64

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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.