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Finding the Fourth Proportional to 596.25, 822.90 and 431.01

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Solution

The fourth proportional to 596.25, 822.90 and 431.01 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 822.90 = 431.01 : x
  2. Step 2: Convert to fraction form
    596.25/822.90 = 431.01/x
  3. Step 3: Cross multiply
    596.25x = 822.90 × 431.01
  4. Step 4: Simplify right side
    596.25x = 354,678.13
  5. Step 5: Solve for x
    x = 354,678.13/596.25
  6. Step 6: Final answer
    x = 594.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.