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Finding the Fourth Proportional to 352.54, 528.81 and 256.06

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Solution

The fourth proportional to 352.54, 528.81 and 256.06 is: 384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 528.81 = 256.06 : x
  2. Step 2: Convert to fraction form
    352.54/528.81 = 256.06/x
  3. Step 3: Cross multiply
    352.54x = 528.81 × 256.06
  4. Step 4: Simplify right side
    352.54x = 135,407.09
  5. Step 5: Solve for x
    x = 135,407.09/352.54
  6. Step 6: Final answer
    x = 384.09

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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.