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Finding the Fourth Proportional to 370.76, 513.77 and 366.12

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Solution

The fourth proportional to 370.76, 513.77 and 366.12 is: 507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 513.77 = 366.12 : x
  2. Step 2: Convert to fraction form
    370.76/513.77 = 366.12/x
  3. Step 3: Cross multiply
    370.76x = 513.77 × 366.12
  4. Step 4: Simplify right side
    370.76x = 188,101.47
  5. Step 5: Solve for x
    x = 188,101.47/370.76
  6. Step 6: Final answer
    x = 507.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.