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Finding the Fourth Proportional to 579.78, 868.53 and 305.19

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Solution

The fourth proportional to 579.78, 868.53 and 305.19 is: 457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.78 : 868.53 = 305.19 : x
  2. Step 2: Convert to fraction form
    579.78/868.53 = 305.19/x
  3. Step 3: Cross multiply
    579.78x = 868.53 × 305.19
  4. Step 4: Simplify right side
    579.78x = 265,066.67
  5. Step 5: Solve for x
    x = 265,066.67/579.78
  6. Step 6: Final answer
    x = 457.18

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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.