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Finding the Fourth Proportional to 346.57, 519.32 and 264.18

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Solution

The fourth proportional to 346.57, 519.32 and 264.18 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.57 : 519.32 = 264.18 : x
  2. Step 2: Convert to fraction form
    346.57/519.32 = 264.18/x
  3. Step 3: Cross multiply
    346.57x = 519.32 × 264.18
  4. Step 4: Simplify right side
    346.57x = 137,194.62
  5. Step 5: Solve for x
    x = 137,194.62/346.57
  6. Step 6: Final answer
    x = 395.87

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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.