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Finding the Fourth Proportional to 358.93, 538.08 and 212.95

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Solution

The fourth proportional to 358.93, 538.08 and 212.95 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.93 : 538.08 = 212.95 : x
  2. Step 2: Convert to fraction form
    358.93/538.08 = 212.95/x
  3. Step 3: Cross multiply
    358.93x = 538.08 × 212.95
  4. Step 4: Simplify right side
    358.93x = 114,584.14
  5. Step 5: Solve for x
    x = 114,584.14/358.93
  6. Step 6: Final answer
    x = 319.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.