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Finding the Fourth Proportional to 357.48, 535.95 and 213.30

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Solution

The fourth proportional to 357.48, 535.95 and 213.30 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.48 : 535.95 = 213.30 : x
  2. Step 2: Convert to fraction form
    357.48/535.95 = 213.30/x
  3. Step 3: Cross multiply
    357.48x = 535.95 × 213.30
  4. Step 4: Simplify right side
    357.48x = 114,318.14
  5. Step 5: Solve for x
    x = 114,318.14/357.48
  6. Step 6: Final answer
    x = 319.79

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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.