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Finding the Fourth Proportional to 338.70, 505.46 and 302.26

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Solution

The fourth proportional to 338.70, 505.46 and 302.26 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 505.46 = 302.26 : x
  2. Step 2: Convert to fraction form
    338.70/505.46 = 302.26/x
  3. Step 3: Cross multiply
    338.70x = 505.46 × 302.26
  4. Step 4: Simplify right side
    338.70x = 152,780.34
  5. Step 5: Solve for x
    x = 152,780.34/338.70
  6. Step 6: Final answer
    x = 451.08

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