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Finding the Fourth Proportional to 353.90, 528.54 and 285.56

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Solution

The fourth proportional to 353.90, 528.54 and 285.56 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 528.54 = 285.56 : x
  2. Step 2: Convert to fraction form
    353.90/528.54 = 285.56/x
  3. Step 3: Cross multiply
    353.90x = 528.54 × 285.56
  4. Step 4: Simplify right side
    353.90x = 150,929.88
  5. Step 5: Solve for x
    x = 150,929.88/353.90
  6. Step 6: Final answer
    x = 426.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.