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Finding the Fourth Proportional to 338.02, 504.01 and 337.57

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Solution

The fourth proportional to 338.02, 504.01 and 337.57 is: 503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 504.01 = 337.57 : x
  2. Step 2: Convert to fraction form
    338.02/504.01 = 337.57/x
  3. Step 3: Cross multiply
    338.02x = 504.01 × 337.57
  4. Step 4: Simplify right side
    338.02x = 170,138.66
  5. Step 5: Solve for x
    x = 170,138.66/338.02
  6. Step 6: Final answer
    x = 503.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.