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Finding the Fourth Proportional to 389.01, 583.52 and 172.74

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Solution

The fourth proportional to 389.01, 583.52 and 172.74 is: 259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 583.52 = 172.74 : x
  2. Step 2: Convert to fraction form
    389.01/583.52 = 172.74/x
  3. Step 3: Cross multiply
    389.01x = 583.52 × 172.74
  4. Step 4: Simplify right side
    389.01x = 100,797.24
  5. Step 5: Solve for x
    x = 100,797.24/389.01
  6. Step 6: Final answer
    x = 259.11

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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.