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Finding the Fourth Proportional to 579.14, 868.84 and 305.08

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Solution

The fourth proportional to 579.14, 868.84 and 305.08 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.14 : 868.84 = 305.08 : x
  2. Step 2: Convert to fraction form
    579.14/868.84 = 305.08/x
  3. Step 3: Cross multiply
    579.14x = 868.84 × 305.08
  4. Step 4: Simplify right side
    579.14x = 265,065.71
  5. Step 5: Solve for x
    x = 265,065.71/579.14
  6. Step 6: Final answer
    x = 457.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.