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Finding the Fourth Proportional to 511.84, 706.33 and 290.78

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Solution

The fourth proportional to 511.84, 706.33 and 290.78 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 706.33 = 290.78 : x
  2. Step 2: Convert to fraction form
    511.84/706.33 = 290.78/x
  3. Step 3: Cross multiply
    511.84x = 706.33 × 290.78
  4. Step 4: Simplify right side
    511.84x = 205,386.64
  5. Step 5: Solve for x
    x = 205,386.64/511.84
  6. Step 6: Final answer
    x = 401.27

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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.