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Finding the Fourth Proportional to 623.99, 935.78 and 213.02

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Solution

The fourth proportional to 623.99, 935.78 and 213.02 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.99 : 935.78 = 213.02 : x
  2. Step 2: Convert to fraction form
    623.99/935.78 = 213.02/x
  3. Step 3: Cross multiply
    623.99x = 935.78 × 213.02
  4. Step 4: Simplify right side
    623.99x = 199,334.11
  5. Step 5: Solve for x
    x = 199,334.11/623.99
  6. Step 6: Final answer
    x = 319.45

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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.