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Finding the Fourth Proportional to 589.58, 884.36 and 156.74

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Solution

The fourth proportional to 589.58, 884.36 and 156.74 is: 235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.58 : 884.36 = 156.74 : x
  2. Step 2: Convert to fraction form
    589.58/884.36 = 156.74/x
  3. Step 3: Cross multiply
    589.58x = 884.36 × 156.74
  4. Step 4: Simplify right side
    589.58x = 138,609.38
  5. Step 5: Solve for x
    x = 138,609.38/589.58
  6. Step 6: Final answer
    x = 235.10

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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.