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Finding the Fourth Proportional to 389.53, 584.24 and 146.03

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Solution

The fourth proportional to 389.53, 584.24 and 146.03 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.53 : 584.24 = 146.03 : x
  2. Step 2: Convert to fraction form
    389.53/584.24 = 146.03/x
  3. Step 3: Cross multiply
    389.53x = 584.24 × 146.03
  4. Step 4: Simplify right side
    389.53x = 85,312.92
  5. Step 5: Solve for x
    x = 85,312.92/389.53
  6. Step 6: Final answer
    x = 219.02

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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.