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Finding the Fourth Proportional to 337.18, 504.78 and 328.90

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Solution

The fourth proportional to 337.18, 504.78 and 328.90 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.18 : 504.78 = 328.90 : x
  2. Step 2: Convert to fraction form
    337.18/504.78 = 328.90/x
  3. Step 3: Cross multiply
    337.18x = 504.78 × 328.90
  4. Step 4: Simplify right side
    337.18x = 166,022.14
  5. Step 5: Solve for x
    x = 166,022.14/337.18
  6. Step 6: Final answer
    x = 492.38

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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.