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Finding the Fourth Proportional to 384.56, 575.68 and 333.26

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Solution

The fourth proportional to 384.56, 575.68 and 333.26 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.56 : 575.68 = 333.26 : x
  2. Step 2: Convert to fraction form
    384.56/575.68 = 333.26/x
  3. Step 3: Cross multiply
    384.56x = 575.68 × 333.26
  4. Step 4: Simplify right side
    384.56x = 191,851.12
  5. Step 5: Solve for x
    x = 191,851.12/384.56
  6. Step 6: Final answer
    x = 498.88

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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.