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Finding the Fourth Proportional to 652.73, 978.52 and 287.23

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Solution

The fourth proportional to 652.73, 978.52 and 287.23 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.73 : 978.52 = 287.23 : x
  2. Step 2: Convert to fraction form
    652.73/978.52 = 287.23/x
  3. Step 3: Cross multiply
    652.73x = 978.52 × 287.23
  4. Step 4: Simplify right side
    652.73x = 281,060.30
  5. Step 5: Solve for x
    x = 281,060.30/652.73
  6. Step 6: Final answer
    x = 430.59

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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.