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Finding the Fourth Proportional to 448.17, 617.13 and 426.30

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Solution

The fourth proportional to 448.17, 617.13 and 426.30 is: 587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.17 : 617.13 = 426.30 : x
  2. Step 2: Convert to fraction form
    448.17/617.13 = 426.30/x
  3. Step 3: Cross multiply
    448.17x = 617.13 × 426.30
  4. Step 4: Simplify right side
    448.17x = 263,082.52
  5. Step 5: Solve for x
    x = 263,082.52/448.17
  6. Step 6: Final answer
    x = 587.02

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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.