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Finding the Fourth Proportional to 352.53, 529.47 and 295.09

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Solution

The fourth proportional to 352.53, 529.47 and 295.09 is: 443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.53 : 529.47 = 295.09 : x
  2. Step 2: Convert to fraction form
    352.53/529.47 = 295.09/x
  3. Step 3: Cross multiply
    352.53x = 529.47 × 295.09
  4. Step 4: Simplify right side
    352.53x = 156,239.98
  5. Step 5: Solve for x
    x = 156,239.98/352.53
  6. Step 6: Final answer
    x = 443.20

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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.