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Finding the Fourth Proportional to 358.04, 494.21 and 227.05

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Solution

The fourth proportional to 358.04, 494.21 and 227.05 is: 313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.04 : 494.21 = 227.05 : x
  2. Step 2: Convert to fraction form
    358.04/494.21 = 227.05/x
  3. Step 3: Cross multiply
    358.04x = 494.21 × 227.05
  4. Step 4: Simplify right side
    358.04x = 112,209.71
  5. Step 5: Solve for x
    x = 112,209.71/358.04
  6. Step 6: Final answer
    x = 313.40

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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.