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Finding the Fourth Proportional to 617.93, 853.18 and 475.88

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Solution

The fourth proportional to 617.93, 853.18 and 475.88 is: 657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.93 : 853.18 = 475.88 : x
  2. Step 2: Convert to fraction form
    617.93/853.18 = 475.88/x
  3. Step 3: Cross multiply
    617.93x = 853.18 × 475.88
  4. Step 4: Simplify right side
    617.93x = 406,008.52
  5. Step 5: Solve for x
    x = 406,008.52/617.93
  6. Step 6: Final answer
    x = 657.05

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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.