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Finding the Fourth Proportional to 585.82, 877.26 and 338.38

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Solution

The fourth proportional to 585.82, 877.26 and 338.38 is: 506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 877.26 = 338.38 : x
  2. Step 2: Convert to fraction form
    585.82/877.26 = 338.38/x
  3. Step 3: Cross multiply
    585.82x = 877.26 × 338.38
  4. Step 4: Simplify right side
    585.82x = 296,847.24
  5. Step 5: Solve for x
    x = 296,847.24/585.82
  6. Step 6: Final answer
    x = 506.72

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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.