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Finding the Fourth Proportional to 511.74, 706.14 and 290.70

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Solution

The fourth proportional to 511.74, 706.14 and 290.70 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.74 : 706.14 = 290.70 : x
  2. Step 2: Convert to fraction form
    511.74/706.14 = 290.70/x
  3. Step 3: Cross multiply
    511.74x = 706.14 × 290.70
  4. Step 4: Simplify right side
    511.74x = 205,274.90
  5. Step 5: Solve for x
    x = 205,274.90/511.74
  6. Step 6: Final answer
    x = 401.13

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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.