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Finding the Fourth Proportional to 578.64, 868.12 and 304.89

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Solution

The fourth proportional to 578.64, 868.12 and 304.89 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 868.12 = 304.89 : x
  2. Step 2: Convert to fraction form
    578.64/868.12 = 304.89/x
  3. Step 3: Cross multiply
    578.64x = 868.12 × 304.89
  4. Step 4: Simplify right side
    578.64x = 264,679.53
  5. Step 5: Solve for x
    x = 264,679.53/578.64
  6. Step 6: Final answer
    x = 457.41

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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.