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Finding the Fourth Proportional to 337.16, 504.82 and 228.74

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Solution

The fourth proportional to 337.16, 504.82 and 228.74 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.16 : 504.82 = 228.74 : x
  2. Step 2: Convert to fraction form
    337.16/504.82 = 228.74/x
  3. Step 3: Cross multiply
    337.16x = 504.82 × 228.74
  4. Step 4: Simplify right side
    337.16x = 115,472.53
  5. Step 5: Solve for x
    x = 115,472.53/337.16
  6. Step 6: Final answer
    x = 342.49

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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.