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Finding the Fourth Proportional to 562.37, 776.33 and 431.96

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Solution

The fourth proportional to 562.37, 776.33 and 431.96 is: 596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.37 : 776.33 = 431.96 : x
  2. Step 2: Convert to fraction form
    562.37/776.33 = 431.96/x
  3. Step 3: Cross multiply
    562.37x = 776.33 × 431.96
  4. Step 4: Simplify right side
    562.37x = 335,337.47
  5. Step 5: Solve for x
    x = 335,337.47/562.37
  6. Step 6: Final answer
    x = 596.30

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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.