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Finding the Fourth Proportional to 502.86, 754.53 and 228.81

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Solution

The fourth proportional to 502.86, 754.53 and 228.81 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 754.53 = 228.81 : x
  2. Step 2: Convert to fraction form
    502.86/754.53 = 228.81/x
  3. Step 3: Cross multiply
    502.86x = 754.53 × 228.81
  4. Step 4: Simplify right side
    502.86x = 172,644.01
  5. Step 5: Solve for x
    x = 172,644.01/502.86
  6. Step 6: Final answer
    x = 343.32

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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.