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Finding the Fourth Proportional to 623.85, 935.83 and 213.01

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Solution

The fourth proportional to 623.85, 935.83 and 213.01 is: 319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.85 : 935.83 = 213.01 : x
  2. Step 2: Convert to fraction form
    623.85/935.83 = 213.01/x
  3. Step 3: Cross multiply
    623.85x = 935.83 × 213.01
  4. Step 4: Simplify right side
    623.85x = 199,341.15
  5. Step 5: Solve for x
    x = 199,341.15/623.85
  6. Step 6: Final answer
    x = 319.53

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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.