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Finding the Fourth Proportional to 338.60, 507.46 and 201.72

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Solution

The fourth proportional to 338.60, 507.46 and 201.72 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.60 : 507.46 = 201.72 : x
  2. Step 2: Convert to fraction form
    338.60/507.46 = 201.72/x
  3. Step 3: Cross multiply
    338.60x = 507.46 × 201.72
  4. Step 4: Simplify right side
    338.60x = 102,364.83
  5. Step 5: Solve for x
    x = 102,364.83/338.60
  6. Step 6: Final answer
    x = 302.32

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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.