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Finding the Fourth Proportional to 589.22, 812.70 and 431.90

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Solution

The fourth proportional to 589.22, 812.70 and 431.90 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 812.70 = 431.90 : x
  2. Step 2: Convert to fraction form
    589.22/812.70 = 431.90/x
  3. Step 3: Cross multiply
    589.22x = 812.70 × 431.90
  4. Step 4: Simplify right side
    589.22x = 351,005.13
  5. Step 5: Solve for x
    x = 351,005.13/589.22
  6. Step 6: Final answer
    x = 595.71

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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.