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Finding the Fourth Proportional to 579.60, 799.47 and 448.92

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Solution

The fourth proportional to 579.60, 799.47 and 448.92 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 799.47 = 448.92 : x
  2. Step 2: Convert to fraction form
    579.60/799.47 = 448.92/x
  3. Step 3: Cross multiply
    579.60x = 799.47 × 448.92
  4. Step 4: Simplify right side
    579.60x = 358,898.07
  5. Step 5: Solve for x
    x = 358,898.07/579.60
  6. Step 6: Final answer
    x = 619.22

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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.