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Finding the Fourth Proportional to 579.08, 869.16 and 478.64

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Solution

The fourth proportional to 579.08, 869.16 and 478.64 is: 718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.08 : 869.16 = 478.64 : x
  2. Step 2: Convert to fraction form
    579.08/869.16 = 478.64/x
  3. Step 3: Cross multiply
    579.08x = 869.16 × 478.64
  4. Step 4: Simplify right side
    579.08x = 416,014.74
  5. Step 5: Solve for x
    x = 416,014.74/579.08
  6. Step 6: Final answer
    x = 718.41

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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.