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Finding the Fourth Proportional to 511.61, 706.05 and 290.52

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Solution

The fourth proportional to 511.61, 706.05 and 290.52 is: 400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.61 : 706.05 = 290.52 : x
  2. Step 2: Convert to fraction form
    511.61/706.05 = 290.52/x
  3. Step 3: Cross multiply
    511.61x = 706.05 × 290.52
  4. Step 4: Simplify right side
    511.61x = 205,121.65
  5. Step 5: Solve for x
    x = 205,121.65/511.61
  6. Step 6: Final answer
    x = 400.94

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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.