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Finding the Fourth Proportional to 338.65, 504.60 and 302.30

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Solution

The fourth proportional to 338.65, 504.60 and 302.30 is: 450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.65 : 504.60 = 302.30 : x
  2. Step 2: Convert to fraction form
    338.65/504.60 = 302.30/x
  3. Step 3: Cross multiply
    338.65x = 504.60 × 302.30
  4. Step 4: Simplify right side
    338.65x = 152,542.98
  5. Step 5: Solve for x
    x = 152,542.98/338.65
  6. Step 6: Final answer
    x = 450.44

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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.