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Finding the Fourth Proportional to 389.64, 584.54 and 146.14

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Solution

The fourth proportional to 389.64, 584.54 and 146.14 is: 219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 584.54 = 146.14 : x
  2. Step 2: Convert to fraction form
    389.64/584.54 = 146.14/x
  3. Step 3: Cross multiply
    389.64x = 584.54 × 146.14
  4. Step 4: Simplify right side
    389.64x = 85,424.68
  5. Step 5: Solve for x
    x = 85,424.68/389.64
  6. Step 6: Final answer
    x = 219.24

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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.