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Finding the Fourth Proportional to 389.62, 584.45 and 101.06

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Solution

The fourth proportional to 389.62, 584.45 and 101.06 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.62 : 584.45 = 101.06 : x
  2. Step 2: Convert to fraction form
    389.62/584.45 = 101.06/x
  3. Step 3: Cross multiply
    389.62x = 584.45 × 101.06
  4. Step 4: Simplify right side
    389.62x = 59,064.52
  5. Step 5: Solve for x
    x = 59,064.52/389.62
  6. Step 6: Final answer
    x = 151.60

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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.