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Finding the Fourth Proportional to 352.72, 529.44 and 256.24

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Solution

The fourth proportional to 352.72, 529.44 and 256.24 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.72 : 529.44 = 256.24 : x
  2. Step 2: Convert to fraction form
    352.72/529.44 = 256.24/x
  3. Step 3: Cross multiply
    352.72x = 529.44 × 256.24
  4. Step 4: Simplify right side
    352.72x = 135,663.71
  5. Step 5: Solve for x
    x = 135,663.71/352.72
  6. Step 6: Final answer
    x = 384.62

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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.