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Finding the Fourth Proportional to 623.80, 935.70 and 213.06

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Solution

The fourth proportional to 623.80, 935.70 and 213.06 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.80 : 935.70 = 213.06 : x
  2. Step 2: Convert to fraction form
    623.80/935.70 = 213.06/x
  3. Step 3: Cross multiply
    623.80x = 935.70 × 213.06
  4. Step 4: Simplify right side
    623.80x = 199,360.24
  5. Step 5: Solve for x
    x = 199,360.24/623.80
  6. Step 6: Final answer
    x = 319.59

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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.