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Finding the Fourth Proportional to 447.66, 617.01 and 307.53

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Solution

The fourth proportional to 447.66, 617.01 and 307.53 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 617.01 = 307.53 : x
  2. Step 2: Convert to fraction form
    447.66/617.01 = 307.53/x
  3. Step 3: Cross multiply
    447.66x = 617.01 × 307.53
  4. Step 4: Simplify right side
    447.66x = 189,749.09
  5. Step 5: Solve for x
    x = 189,749.09/447.66
  6. Step 6: Final answer
    x = 423.87

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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.