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Finding the Fourth Proportional to 390, 584.92 and 146.48

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Solution

The fourth proportional to 390, 584.92 and 146.48 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 584.92 = 146.48 : x
  2. Step 2: Convert to fraction form
    390/584.92 = 146.48/x
  3. Step 3: Cross multiply
    390x = 584.92 × 146.48
  4. Step 4: Simplify right side
    390x = 85,679.08
  5. Step 5: Solve for x
    x = 85,679.08/390
  6. Step 6: Final answer
    x = 219.69

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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.