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Finding the Fourth Proportional to 346.14, 477.45 and 229.50

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Solution

The fourth proportional to 346.14, 477.45 and 229.50 is: 316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 477.45 = 229.50 : x
  2. Step 2: Convert to fraction form
    346.14/477.45 = 229.50/x
  3. Step 3: Cross multiply
    346.14x = 477.45 × 229.50
  4. Step 4: Simplify right side
    346.14x = 109,574.78
  5. Step 5: Solve for x
    x = 109,574.78/346.14
  6. Step 6: Final answer
    x = 316.56

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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.