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Finding the Fourth Proportional to 447.58, 617.95 and 364.89

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Solution

The fourth proportional to 447.58, 617.95 and 364.89 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.58 : 617.95 = 364.89 : x
  2. Step 2: Convert to fraction form
    447.58/617.95 = 364.89/x
  3. Step 3: Cross multiply
    447.58x = 617.95 × 364.89
  4. Step 4: Simplify right side
    447.58x = 225,479.77
  5. Step 5: Solve for x
    x = 225,479.77/447.58
  6. Step 6: Final answer
    x = 503.78

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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.