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Finding the Fourth Proportional to 589.47, 884.10 and 178.50

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Solution

The fourth proportional to 589.47, 884.10 and 178.50 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.47 : 884.10 = 178.50 : x
  2. Step 2: Convert to fraction form
    589.47/884.10 = 178.50/x
  3. Step 3: Cross multiply
    589.47x = 884.10 × 178.50
  4. Step 4: Simplify right side
    589.47x = 157,812.34
  5. Step 5: Solve for x
    x = 157,812.34/589.47
  6. Step 6: Final answer
    x = 267.72

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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.