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Finding the Fourth Proportional to 364.75, 547.32 and 202.52

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Solution

The fourth proportional to 364.75, 547.32 and 202.52 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 547.32 = 202.52 : x
  2. Step 2: Convert to fraction form
    364.75/547.32 = 202.52/x
  3. Step 3: Cross multiply
    364.75x = 547.32 × 202.52
  4. Step 4: Simplify right side
    364.75x = 110,843.25
  5. Step 5: Solve for x
    x = 110,843.25/364.75
  6. Step 6: Final answer
    x = 303.89

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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.