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Finding the Fourth Proportional to 352.72, 528.42 and 314.59

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Solution

The fourth proportional to 352.72, 528.42 and 314.59 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.72 : 528.42 = 314.59 : x
  2. Step 2: Convert to fraction form
    352.72/528.42 = 314.59/x
  3. Step 3: Cross multiply
    352.72x = 528.42 × 314.59
  4. Step 4: Simplify right side
    352.72x = 166,235.65
  5. Step 5: Solve for x
    x = 166,235.65/352.72
  6. Step 6: Final answer
    x = 471.30

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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.