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Finding the Fourth Proportional to 579.84, 800.40 and 448.32

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Solution

The fourth proportional to 579.84, 800.40 and 448.32 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 800.40 = 448.32 : x
  2. Step 2: Convert to fraction form
    579.84/800.40 = 448.32/x
  3. Step 3: Cross multiply
    579.84x = 800.40 × 448.32
  4. Step 4: Simplify right side
    579.84x = 358,835.33
  5. Step 5: Solve for x
    x = 358,835.33/579.84
  6. Step 6: Final answer
    x = 618.85

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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.