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Finding the Fourth Proportional to 578.62, 867.89 and 304.88

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Solution

The fourth proportional to 578.62, 867.89 and 304.88 is: 457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.62 : 867.89 = 304.88 : x
  2. Step 2: Convert to fraction form
    578.62/867.89 = 304.88/x
  3. Step 3: Cross multiply
    578.62x = 867.89 × 304.88
  4. Step 4: Simplify right side
    578.62x = 264,602.30
  5. Step 5: Solve for x
    x = 264,602.30/578.62
  6. Step 6: Final answer
    x = 457.30

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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.