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Finding the Fourth Proportional to 447.61, 617.59 and 258.57

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Solution

The fourth proportional to 447.61, 617.59 and 258.57 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.61 : 617.59 = 258.57 : x
  2. Step 2: Convert to fraction form
    447.61/617.59 = 258.57/x
  3. Step 3: Cross multiply
    447.61x = 617.59 × 258.57
  4. Step 4: Simplify right side
    447.61x = 159,690.25
  5. Step 5: Solve for x
    x = 159,690.25/447.61
  6. Step 6: Final answer
    x = 356.76

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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.