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Finding the Fourth Proportional to 511.09, 705.29 and 290.04

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Solution

The fourth proportional to 511.09, 705.29 and 290.04 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 705.29 = 290.04 : x
  2. Step 2: Convert to fraction form
    511.09/705.29 = 290.04/x
  3. Step 3: Cross multiply
    511.09x = 705.29 × 290.04
  4. Step 4: Simplify right side
    511.09x = 204,560.34
  5. Step 5: Solve for x
    x = 204,560.34/511.09
  6. Step 6: Final answer
    x = 400.24

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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.