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Finding the Fourth Proportional to 578.67, 868.01 and 304.89

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Solution

The fourth proportional to 578.67, 868.01 and 304.89 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 868.01 = 304.89 : x
  2. Step 2: Convert to fraction form
    578.67/868.01 = 304.89/x
  3. Step 3: Cross multiply
    578.67x = 868.01 × 304.89
  4. Step 4: Simplify right side
    578.67x = 264,646.04
  5. Step 5: Solve for x
    x = 264,646.04/578.67
  6. Step 6: Final answer
    x = 457.34

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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.