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Finding the Fourth Proportional to 523.13, 721.98 and 302.04

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Solution

The fourth proportional to 523.13, 721.98 and 302.04 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 721.98 = 302.04 : x
  2. Step 2: Convert to fraction form
    523.13/721.98 = 302.04/x
  3. Step 3: Cross multiply
    523.13x = 721.98 × 302.04
  4. Step 4: Simplify right side
    523.13x = 218,066.84
  5. Step 5: Solve for x
    x = 218,066.84/523.13
  6. Step 6: Final answer
    x = 416.85

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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.