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Finding the Fourth Proportional to 346.15, 476.71 and 338.59

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Solution

The fourth proportional to 346.15, 476.71 and 338.59 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 476.71 = 338.59 : x
  2. Step 2: Convert to fraction form
    346.15/476.71 = 338.59/x
  3. Step 3: Cross multiply
    346.15x = 476.71 × 338.59
  4. Step 4: Simplify right side
    346.15x = 161,409.24
  5. Step 5: Solve for x
    x = 161,409.24/346.15
  6. Step 6: Final answer
    x = 466.30

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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.