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Finding the Fourth Proportional to 341.57, 468.54 and 338.64

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Solution

The fourth proportional to 341.57, 468.54 and 338.64 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.57 : 468.54 = 338.64 : x
  2. Step 2: Convert to fraction form
    341.57/468.54 = 338.64/x
  3. Step 3: Cross multiply
    341.57x = 468.54 × 338.64
  4. Step 4: Simplify right side
    341.57x = 158,666.39
  5. Step 5: Solve for x
    x = 158,666.39/341.57
  6. Step 6: Final answer
    x = 464.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.