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Finding the Fourth Proportional to 338.06, 465.78 and 253.70

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Solution

The fourth proportional to 338.06, 465.78 and 253.70 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.06 : 465.78 = 253.70 : x
  2. Step 2: Convert to fraction form
    338.06/465.78 = 253.70/x
  3. Step 3: Cross multiply
    338.06x = 465.78 × 253.70
  4. Step 4: Simplify right side
    338.06x = 118,168.39
  5. Step 5: Solve for x
    x = 118,168.39/338.06
  6. Step 6: Final answer
    x = 349.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.