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Finding the Fourth Proportional to 511.63, 706.07 and 290.56

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Solution

The fourth proportional to 511.63, 706.07 and 290.56 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 706.07 = 290.56 : x
  2. Step 2: Convert to fraction form
    511.63/706.07 = 290.56/x
  3. Step 3: Cross multiply
    511.63x = 706.07 × 290.56
  4. Step 4: Simplify right side
    511.63x = 205,154.25
  5. Step 5: Solve for x
    x = 205,154.25/511.63
  6. Step 6: Final answer
    x = 400.98

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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.