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Finding the Fourth Proportional to 578.85, 867.65 and 285.95

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Solution

The fourth proportional to 578.85, 867.65 and 285.95 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.85 : 867.65 = 285.95 : x
  2. Step 2: Convert to fraction form
    578.85/867.65 = 285.95/x
  3. Step 3: Cross multiply
    578.85x = 867.65 × 285.95
  4. Step 4: Simplify right side
    578.85x = 248,098.75
  5. Step 5: Solve for x
    x = 248,098.75/578.85
  6. Step 6: Final answer
    x = 428.61

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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.