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Finding the Fourth Proportional to 389.95, 584.85 and 146.42

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Solution

The fourth proportional to 389.95, 584.85 and 146.42 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.95 : 584.85 = 146.42 : x
  2. Step 2: Convert to fraction form
    389.95/584.85 = 146.42/x
  3. Step 3: Cross multiply
    389.95x = 584.85 × 146.42
  4. Step 4: Simplify right side
    389.95x = 85,633.74
  5. Step 5: Solve for x
    x = 85,633.74/389.95
  6. Step 6: Final answer
    x = 219.60

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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.