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Finding the Fourth Proportional to 338.32, 504.70 and 301.88

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Solution

The fourth proportional to 338.32, 504.70 and 301.88 is: 450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 504.70 = 301.88 : x
  2. Step 2: Convert to fraction form
    338.32/504.70 = 301.88/x
  3. Step 3: Cross multiply
    338.32x = 504.70 × 301.88
  4. Step 4: Simplify right side
    338.32x = 152,358.84
  5. Step 5: Solve for x
    x = 152,358.84/338.32
  6. Step 6: Final answer
    x = 450.34

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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.