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Finding the Fourth Proportional to 510.12, 762.38 and 372.24

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Solution

The fourth proportional to 510.12, 762.38 and 372.24 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 762.38 = 372.24 : x
  2. Step 2: Convert to fraction form
    510.12/762.38 = 372.24/x
  3. Step 3: Cross multiply
    510.12x = 762.38 × 372.24
  4. Step 4: Simplify right side
    510.12x = 283,788.33
  5. Step 5: Solve for x
    x = 283,788.33/510.12
  6. Step 6: Final answer
    x = 556.32

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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.