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Finding the Fourth Proportional to 358.66, 494.65 and 220.42

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Solution

The fourth proportional to 358.66, 494.65 and 220.42 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.66 : 494.65 = 220.42 : x
  2. Step 2: Convert to fraction form
    358.66/494.65 = 220.42/x
  3. Step 3: Cross multiply
    358.66x = 494.65 × 220.42
  4. Step 4: Simplify right side
    358.66x = 109,030.75
  5. Step 5: Solve for x
    x = 109,030.75/358.66
  6. Step 6: Final answer
    x = 303.99

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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.