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Finding the Fourth Proportional to 652.44, 978.60 and 262.65

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Solution

The fourth proportional to 652.44, 978.60 and 262.65 is: 393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 978.60 = 262.65 : x
  2. Step 2: Convert to fraction form
    652.44/978.60 = 262.65/x
  3. Step 3: Cross multiply
    652.44x = 978.60 × 262.65
  4. Step 4: Simplify right side
    652.44x = 257,027.98
  5. Step 5: Solve for x
    x = 257,027.98/652.44
  6. Step 6: Final answer
    x = 393.95

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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.