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Finding the Fourth Proportional to 573.84, 792.24 and 377.68

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Solution

The fourth proportional to 573.84, 792.24 and 377.68 is: 521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 792.24 = 377.68 : x
  2. Step 2: Convert to fraction form
    573.84/792.24 = 377.68/x
  3. Step 3: Cross multiply
    573.84x = 792.24 × 377.68
  4. Step 4: Simplify right side
    573.84x = 299,213.20
  5. Step 5: Solve for x
    x = 299,213.20/573.84
  6. Step 6: Final answer
    x = 521.42

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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.