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Finding the Fourth Proportional to 523.07, 721.84 and 302.05

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Solution

The fourth proportional to 523.07, 721.84 and 302.05 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 721.84 = 302.05 : x
  2. Step 2: Convert to fraction form
    523.07/721.84 = 302.05/x
  3. Step 3: Cross multiply
    523.07x = 721.84 × 302.05
  4. Step 4: Simplify right side
    523.07x = 218,031.77
  5. Step 5: Solve for x
    x = 218,031.77/523.07
  6. Step 6: Final answer
    x = 416.83

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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.