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Finding the Fourth Proportional to 617.53, 852.49 and 418.47

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Solution

The fourth proportional to 617.53, 852.49 and 418.47 is: 577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.53 : 852.49 = 418.47 : x
  2. Step 2: Convert to fraction form
    617.53/852.49 = 418.47/x
  3. Step 3: Cross multiply
    617.53x = 852.49 × 418.47
  4. Step 4: Simplify right side
    617.53x = 356,741.49
  5. Step 5: Solve for x
    x = 356,741.49/617.53
  6. Step 6: Final answer
    x = 577.69

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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.