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Finding the Fourth Proportional to 353.75, 529.70 and 314.56

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Solution

The fourth proportional to 353.75, 529.70 and 314.56 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 529.70 = 314.56 : x
  2. Step 2: Convert to fraction form
    353.75/529.70 = 314.56/x
  3. Step 3: Cross multiply
    353.75x = 529.70 × 314.56
  4. Step 4: Simplify right side
    353.75x = 166,622.43
  5. Step 5: Solve for x
    x = 166,622.43/353.75
  6. Step 6: Final answer
    x = 471.02

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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.