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Finding the Fourth Proportional to 372.06, 510.68 and 329.68

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Solution

The fourth proportional to 372.06, 510.68 and 329.68 is: 452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 510.68 = 329.68 : x
  2. Step 2: Convert to fraction form
    372.06/510.68 = 329.68/x
  3. Step 3: Cross multiply
    372.06x = 510.68 × 329.68
  4. Step 4: Simplify right side
    372.06x = 168,360.98
  5. Step 5: Solve for x
    x = 168,360.98/372.06
  6. Step 6: Final answer
    x = 452.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.