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Finding the Fourth Proportional to 356.42, 534.69 and 213.05

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Solution

The fourth proportional to 356.42, 534.69 and 213.05 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 534.69 = 213.05 : x
  2. Step 2: Convert to fraction form
    356.42/534.69 = 213.05/x
  3. Step 3: Cross multiply
    356.42x = 534.69 × 213.05
  4. Step 4: Simplify right side
    356.42x = 113,913.03
  5. Step 5: Solve for x
    x = 113,913.03/356.42
  6. Step 6: Final answer
    x = 319.61

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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.