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Finding the Fourth Proportional to 346.22, 476.39 and 338.02

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Solution

The fourth proportional to 346.22, 476.39 and 338.02 is: 465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.22 : 476.39 = 338.02 : x
  2. Step 2: Convert to fraction form
    346.22/476.39 = 338.02/x
  3. Step 3: Cross multiply
    346.22x = 476.39 × 338.02
  4. Step 4: Simplify right side
    346.22x = 161,025.28
  5. Step 5: Solve for x
    x = 161,025.28/346.22
  6. Step 6: Final answer
    x = 465.10

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Why These Related Problems?

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