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Finding the Fourth Proportional to 511.65, 706.13 and 301.90

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Solution

The fourth proportional to 511.65, 706.13 and 301.90 is: 416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.13 = 301.90 : x
  2. Step 2: Convert to fraction form
    511.65/706.13 = 301.90/x
  3. Step 3: Cross multiply
    511.65x = 706.13 × 301.90
  4. Step 4: Simplify right side
    511.65x = 213,178.41
  5. Step 5: Solve for x
    x = 213,178.41/511.65
  6. Step 6: Final answer
    x = 416.65

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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.