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Finding the Fourth Proportional to 578.77, 868.74 and 304.81

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Solution

The fourth proportional to 578.77, 868.74 and 304.81 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.77 : 868.74 = 304.81 : x
  2. Step 2: Convert to fraction form
    578.77/868.74 = 304.81/x
  3. Step 3: Cross multiply
    578.77x = 868.74 × 304.81
  4. Step 4: Simplify right side
    578.77x = 264,800.64
  5. Step 5: Solve for x
    x = 264,800.64/578.77
  6. Step 6: Final answer
    x = 457.52

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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.