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Finding the Fourth Proportional to 511.24, 705.30 and 290.14

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Solution

The fourth proportional to 511.24, 705.30 and 290.14 is: 400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.24 : 705.30 = 290.14 : x
  2. Step 2: Convert to fraction form
    511.24/705.30 = 290.14/x
  3. Step 3: Cross multiply
    511.24x = 705.30 × 290.14
  4. Step 4: Simplify right side
    511.24x = 204,635.74
  5. Step 5: Solve for x
    x = 204,635.74/511.24
  6. Step 6: Final answer
    x = 400.27

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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.