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Finding the Fourth Proportional to 340.22, 510.33 and 271.65

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Solution

The fourth proportional to 340.22, 510.33 and 271.65 is: 407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.22 : 510.33 = 271.65 : x
  2. Step 2: Convert to fraction form
    340.22/510.33 = 271.65/x
  3. Step 3: Cross multiply
    340.22x = 510.33 × 271.65
  4. Step 4: Simplify right side
    340.22x = 138,634.08
  5. Step 5: Solve for x
    x = 138,634.08/340.22
  6. Step 6: Final answer
    x = 407.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.