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Finding the Fourth Proportional to 579.16, 868.20 and 305.02

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Solution

The fourth proportional to 579.16, 868.20 and 305.02 is: 457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.16 : 868.20 = 305.02 : x
  2. Step 2: Convert to fraction form
    579.16/868.20 = 305.02/x
  3. Step 3: Cross multiply
    579.16x = 868.20 × 305.02
  4. Step 4: Simplify right side
    579.16x = 264,818.36
  5. Step 5: Solve for x
    x = 264,818.36/579.16
  6. Step 6: Final answer
    x = 457.25

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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.