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Finding the Fourth Proportional to 389.50, 584.32 and 146.02

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Solution

The fourth proportional to 389.50, 584.32 and 146.02 is: 219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 584.32 = 146.02 : x
  2. Step 2: Convert to fraction form
    389.50/584.32 = 146.02/x
  3. Step 3: Cross multiply
    389.50x = 584.32 × 146.02
  4. Step 4: Simplify right side
    389.50x = 85,322.41
  5. Step 5: Solve for x
    x = 85,322.41/389.50
  6. Step 6: Final answer
    x = 219.06

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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.