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Finding the Fourth Proportional to 573.76, 789.92 and 456.64

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Solution

The fourth proportional to 573.76, 789.92 and 456.64 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.76 : 789.92 = 456.64 : x
  2. Step 2: Convert to fraction form
    573.76/789.92 = 456.64/x
  3. Step 3: Cross multiply
    573.76x = 789.92 × 456.64
  4. Step 4: Simplify right side
    573.76x = 360,709.07
  5. Step 5: Solve for x
    x = 360,709.07/573.76
  6. Step 6: Final answer
    x = 628.68

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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.