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Finding the Fourth Proportional to 338.96, 505.84 and 302.50

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Solution

The fourth proportional to 338.96, 505.84 and 302.50 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 505.84 = 302.50 : x
  2. Step 2: Convert to fraction form
    338.96/505.84 = 302.50/x
  3. Step 3: Cross multiply
    338.96x = 505.84 × 302.50
  4. Step 4: Simplify right side
    338.96x = 153,016.60
  5. Step 5: Solve for x
    x = 153,016.60/338.96
  6. Step 6: Final answer
    x = 451.43

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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.