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Finding the Fourth Proportional to 370.86, 513.90 and 362.36

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Solution

The fourth proportional to 370.86, 513.90 and 362.36 is: 502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 513.90 = 362.36 : x
  2. Step 2: Convert to fraction form
    370.86/513.90 = 362.36/x
  3. Step 3: Cross multiply
    370.86x = 513.90 × 362.36
  4. Step 4: Simplify right side
    370.86x = 186,214.23
  5. Step 5: Solve for x
    x = 186,214.23/370.86
  6. Step 6: Final answer
    x = 502.11

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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.