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Finding the Fourth Proportional to 572.04, 789.45 and 431.91

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Solution

The fourth proportional to 572.04, 789.45 and 431.91 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 789.45 = 431.91 : x
  2. Step 2: Convert to fraction form
    572.04/789.45 = 431.91/x
  3. Step 3: Cross multiply
    572.04x = 789.45 × 431.91
  4. Step 4: Simplify right side
    572.04x = 340,971.35
  5. Step 5: Solve for x
    x = 340,971.35/572.04
  6. Step 6: Final answer
    x = 596.06

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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.