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Finding the Fourth Proportional to 338.74, 508.30 and 202.05

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Solution

The fourth proportional to 338.74, 508.30 and 202.05 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.74 : 508.30 = 202.05 : x
  2. Step 2: Convert to fraction form
    338.74/508.30 = 202.05/x
  3. Step 3: Cross multiply
    338.74x = 508.30 × 202.05
  4. Step 4: Simplify right side
    338.74x = 102,701.51
  5. Step 5: Solve for x
    x = 102,701.51/338.74
  6. Step 6: Final answer
    x = 303.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.