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Finding the Fourth Proportional to 652.54, 978.16 and 287.27

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Solution

The fourth proportional to 652.54, 978.16 and 287.27 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 978.16 = 287.27 : x
  2. Step 2: Convert to fraction form
    652.54/978.16 = 287.27/x
  3. Step 3: Cross multiply
    652.54x = 978.16 × 287.27
  4. Step 4: Simplify right side
    652.54x = 280,996.02
  5. Step 5: Solve for x
    x = 280,996.02/652.54
  6. Step 6: Final answer
    x = 430.62

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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.