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Finding the Fourth Proportional to 578.88, 868.44 and 497.52

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Solution

The fourth proportional to 578.88, 868.44 and 497.52 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 868.44 = 497.52 : x
  2. Step 2: Convert to fraction form
    578.88/868.44 = 497.52/x
  3. Step 3: Cross multiply
    578.88x = 868.44 × 497.52
  4. Step 4: Simplify right side
    578.88x = 432,066.27
  5. Step 5: Solve for x
    x = 432,066.27/578.88
  6. Step 6: Final answer
    x = 746.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.