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Finding the Fourth Proportional to 589.01, 883.64 and 172.55

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Solution

The fourth proportional to 589.01, 883.64 and 172.55 is: 258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.01 : 883.64 = 172.55 : x
  2. Step 2: Convert to fraction form
    589.01/883.64 = 172.55/x
  3. Step 3: Cross multiply
    589.01x = 883.64 × 172.55
  4. Step 4: Simplify right side
    589.01x = 152,466.80
  5. Step 5: Solve for x
    x = 152,466.80/589.01
  6. Step 6: Final answer
    x = 258.85

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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.