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Finding the Fourth Proportional to 353.50, 529.32 and 314.31

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Solution

The fourth proportional to 353.50, 529.32 and 314.31 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 529.32 = 314.31 : x
  2. Step 2: Convert to fraction form
    353.50/529.32 = 314.31/x
  3. Step 3: Cross multiply
    353.50x = 529.32 × 314.31
  4. Step 4: Simplify right side
    353.50x = 166,370.57
  5. Step 5: Solve for x
    x = 166,370.57/353.50
  6. Step 6: Final answer
    x = 470.64

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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.