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Finding the Fourth Proportional to 447.86, 617.46 and 307.74

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Solution

The fourth proportional to 447.86, 617.46 and 307.74 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.86 : 617.46 = 307.74 : x
  2. Step 2: Convert to fraction form
    447.86/617.46 = 307.74/x
  3. Step 3: Cross multiply
    447.86x = 617.46 × 307.74
  4. Step 4: Simplify right side
    447.86x = 190,019.16
  5. Step 5: Solve for x
    x = 190,019.16/447.86
  6. Step 6: Final answer
    x = 424.28

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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.