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Finding the Fourth Proportional to 562.05, 774.83 and 429.26

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Solution

The fourth proportional to 562.05, 774.83 and 429.26 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 774.83 = 429.26 : x
  2. Step 2: Convert to fraction form
    562.05/774.83 = 429.26/x
  3. Step 3: Cross multiply
    562.05x = 774.83 × 429.26
  4. Step 4: Simplify right side
    562.05x = 332,600.72
  5. Step 5: Solve for x
    x = 332,600.72/562.05
  6. Step 6: Final answer
    x = 591.76

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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.