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Finding the Fourth Proportional to 447.47, 617.50 and 260.94

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Solution

The fourth proportional to 447.47, 617.50 and 260.94 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.47 : 617.50 = 260.94 : x
  2. Step 2: Convert to fraction form
    447.47/617.50 = 260.94/x
  3. Step 3: Cross multiply
    447.47x = 617.50 × 260.94
  4. Step 4: Simplify right side
    447.47x = 161,130.45
  5. Step 5: Solve for x
    x = 161,130.45/447.47
  6. Step 6: Final answer
    x = 360.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.