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Finding the Fourth Proportional to 344.26, 512.69 and 342.46

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Solution

The fourth proportional to 344.26, 512.69 and 342.46 is: 510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 512.69 = 342.46 : x
  2. Step 2: Convert to fraction form
    344.26/512.69 = 342.46/x
  3. Step 3: Cross multiply
    344.26x = 512.69 × 342.46
  4. Step 4: Simplify right side
    344.26x = 175,575.82
  5. Step 5: Solve for x
    x = 175,575.82/344.26
  6. Step 6: Final answer
    x = 510.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.