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Finding the Fourth Proportional to 343.86, 514.98 and 262.08

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Solution

The fourth proportional to 343.86, 514.98 and 262.08 is: 392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 514.98 = 262.08 : x
  2. Step 2: Convert to fraction form
    343.86/514.98 = 262.08/x
  3. Step 3: Cross multiply
    343.86x = 514.98 × 262.08
  4. Step 4: Simplify right side
    343.86x = 134,965.96
  5. Step 5: Solve for x
    x = 134,965.96/343.86
  6. Step 6: Final answer
    x = 392.50

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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.