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Finding the Fourth Proportional to 523.09, 721.85 and 302.07

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Solution

The fourth proportional to 523.09, 721.85 and 302.07 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 721.85 = 302.07 : x
  2. Step 2: Convert to fraction form
    523.09/721.85 = 302.07/x
  3. Step 3: Cross multiply
    523.09x = 721.85 × 302.07
  4. Step 4: Simplify right side
    523.09x = 218,050.43
  5. Step 5: Solve for x
    x = 218,050.43/523.09
  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.