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Finding the Fourth Proportional to 383.28, 529.32 and 334.68

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Solution

The fourth proportional to 383.28, 529.32 and 334.68 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.28 : 529.32 = 334.68 : x
  2. Step 2: Convert to fraction form
    383.28/529.32 = 334.68/x
  3. Step 3: Cross multiply
    383.28x = 529.32 × 334.68
  4. Step 4: Simplify right side
    383.28x = 177,152.82
  5. Step 5: Solve for x
    x = 177,152.82/383.28
  6. Step 6: Final answer
    x = 462.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.