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Finding the Fourth Proportional to 523.01, 721.68 and 298.91

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Solution

The fourth proportional to 523.01, 721.68 and 298.91 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.01 : 721.68 = 298.91 : x
  2. Step 2: Convert to fraction form
    523.01/721.68 = 298.91/x
  3. Step 3: Cross multiply
    523.01x = 721.68 × 298.91
  4. Step 4: Simplify right side
    523.01x = 215,713.76
  5. Step 5: Solve for x
    x = 215,713.76/523.01
  6. Step 6: Final answer
    x = 412.45

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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.