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Finding the Fourth Proportional to 623.83, 935.13 and 299.02

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Solution

The fourth proportional to 623.83, 935.13 and 299.02 is: 448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.83 : 935.13 = 299.02 : x
  2. Step 2: Convert to fraction form
    623.83/935.13 = 299.02/x
  3. Step 3: Cross multiply
    623.83x = 935.13 × 299.02
  4. Step 4: Simplify right side
    623.83x = 279,617.90
  5. Step 5: Solve for x
    x = 279,617.90/623.83
  6. Step 6: Final answer
    x = 448.23

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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.