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Finding the Fourth Proportional to 559.08, 772.24 and 429.68

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Solution

The fourth proportional to 559.08, 772.24 and 429.68 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.08 : 772.24 = 429.68 : x
  2. Step 2: Convert to fraction form
    559.08/772.24 = 429.68/x
  3. Step 3: Cross multiply
    559.08x = 772.24 × 429.68
  4. Step 4: Simplify right side
    559.08x = 331,816.08
  5. Step 5: Solve for x
    x = 331,816.08/559.08
  6. Step 6: Final answer
    x = 593.50

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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.