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Finding the Fourth Proportional to 523.24, 720.82 and 429.68

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Solution

The fourth proportional to 523.24, 720.82 and 429.68 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 720.82 = 429.68 : x
  2. Step 2: Convert to fraction form
    523.24/720.82 = 429.68/x
  3. Step 3: Cross multiply
    523.24x = 720.82 × 429.68
  4. Step 4: Simplify right side
    523.24x = 309,721.94
  5. Step 5: Solve for x
    x = 309,721.94/523.24
  6. Step 6: Final answer
    x = 591.93

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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.