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Finding the Fourth Proportional to 383.18, 575.36 and 337.91

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Solution

The fourth proportional to 383.18, 575.36 and 337.91 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 575.36 = 337.91 : x
  2. Step 2: Convert to fraction form
    383.18/575.36 = 337.91/x
  3. Step 3: Cross multiply
    383.18x = 575.36 × 337.91
  4. Step 4: Simplify right side
    383.18x = 194,418.21
  5. Step 5: Solve for x
    x = 194,418.21/383.18
  6. Step 6: Final answer
    x = 507.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.