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Finding the Fourth Proportional to 395.11, 591.72 and 307.81

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Solution

The fourth proportional to 395.11, 591.72 and 307.81 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.11 : 591.72 = 307.81 : x
  2. Step 2: Convert to fraction form
    395.11/591.72 = 307.81/x
  3. Step 3: Cross multiply
    395.11x = 591.72 × 307.81
  4. Step 4: Simplify right side
    395.11x = 182,137.33
  5. Step 5: Solve for x
    x = 182,137.33/395.11
  6. Step 6: Final answer
    x = 460.98

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Why These Related Problems?

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