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Finding the Fourth Proportional to 358.82, 535.11 and 315.69

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Solution

The fourth proportional to 358.82, 535.11 and 315.69 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 535.11 = 315.69 : x
  2. Step 2: Convert to fraction form
    358.82/535.11 = 315.69/x
  3. Step 3: Cross multiply
    358.82x = 535.11 × 315.69
  4. Step 4: Simplify right side
    358.82x = 168,928.88
  5. Step 5: Solve for x
    x = 168,928.88/358.82
  6. Step 6: Final answer
    x = 470.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.