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Finding the Fourth Proportional to 427.26, 640.02 and 340.74

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Solution

The fourth proportional to 427.26, 640.02 and 340.74 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.26 : 640.02 = 340.74 : x
  2. Step 2: Convert to fraction form
    427.26/640.02 = 340.74/x
  3. Step 3: Cross multiply
    427.26x = 640.02 × 340.74
  4. Step 4: Simplify right side
    427.26x = 218,080.41
  5. Step 5: Solve for x
    x = 218,080.41/427.26
  6. Step 6: Final answer
    x = 510.42

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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.