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Finding the Fourth Proportional to 389.06, 583.32 and 169.58

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Solution

The fourth proportional to 389.06, 583.32 and 169.58 is: 254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 583.32 = 169.58 : x
  2. Step 2: Convert to fraction form
    389.06/583.32 = 169.58/x
  3. Step 3: Cross multiply
    389.06x = 583.32 × 169.58
  4. Step 4: Simplify right side
    389.06x = 98,919.41
  5. Step 5: Solve for x
    x = 98,919.41/389.06
  6. Step 6: Final answer
    x = 254.25

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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.