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Finding the Fourth Proportional to 523.12, 721.83 and 302.02

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Solution

The fourth proportional to 523.12, 721.83 and 302.02 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 721.83 = 302.02 : x
  2. Step 2: Convert to fraction form
    523.12/721.83 = 302.02/x
  3. Step 3: Cross multiply
    523.12x = 721.83 × 302.02
  4. Step 4: Simplify right side
    523.12x = 218,007.10
  5. Step 5: Solve for x
    x = 218,007.10/523.12
  6. Step 6: Final answer
    x = 416.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.