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Finding the Fourth Proportional to 652.75, 978.44 and 287.80

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Solution

The fourth proportional to 652.75, 978.44 and 287.80 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 978.44 = 287.80 : x
  2. Step 2: Convert to fraction form
    652.75/978.44 = 287.80/x
  3. Step 3: Cross multiply
    652.75x = 978.44 × 287.80
  4. Step 4: Simplify right side
    652.75x = 281,593.31
  5. Step 5: Solve for x
    x = 281,593.31/652.75
  6. Step 6: Final answer
    x = 431.40

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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.