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Finding the Fourth Proportional to 511.69, 706.14 and 290.63

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Solution

The fourth proportional to 511.69, 706.14 and 290.63 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 706.14 = 290.63 : x
  2. Step 2: Convert to fraction form
    511.69/706.14 = 290.63/x
  3. Step 3: Cross multiply
    511.69x = 706.14 × 290.63
  4. Step 4: Simplify right side
    511.69x = 205,225.47
  5. Step 5: Solve for x
    x = 205,225.47/511.69
  6. Step 6: Final answer
    x = 401.07

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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.