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Finding the Fourth Proportional to 589.05, 882.90 and 292.41

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Solution

The fourth proportional to 589.05, 882.90 and 292.41 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.05 : 882.90 = 292.41 : x
  2. Step 2: Convert to fraction form
    589.05/882.90 = 292.41/x
  3. Step 3: Cross multiply
    589.05x = 882.90 × 292.41
  4. Step 4: Simplify right side
    589.05x = 258,168.79
  5. Step 5: Solve for x
    x = 258,168.79/589.05
  6. Step 6: Final answer
    x = 438.28

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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.