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Finding the Fourth Proportional to 572.80, 789.54 and 406.76

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Solution

The fourth proportional to 572.80, 789.54 and 406.76 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 789.54 = 406.76 : x
  2. Step 2: Convert to fraction form
    572.80/789.54 = 406.76/x
  3. Step 3: Cross multiply
    572.80x = 789.54 × 406.76
  4. Step 4: Simplify right side
    572.80x = 321,153.29
  5. Step 5: Solve for x
    x = 321,153.29/572.80
  6. Step 6: Final answer
    x = 560.67

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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.