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Finding the Fourth Proportional to 337.83, 506.55 and 175.47

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Solution

The fourth proportional to 337.83, 506.55 and 175.47 is: 263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.83 : 506.55 = 175.47 : x
  2. Step 2: Convert to fraction form
    337.83/506.55 = 175.47/x
  3. Step 3: Cross multiply
    337.83x = 506.55 × 175.47
  4. Step 4: Simplify right side
    337.83x = 88,884.33
  5. Step 5: Solve for x
    x = 88,884.33/337.83
  6. Step 6: Final answer
    x = 263.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.