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Finding the Fourth Proportional to 589.41, 882.09 and 415.53

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Solution

The fourth proportional to 589.41, 882.09 and 415.53 is: 621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.41 : 882.09 = 415.53 : x
  2. Step 2: Convert to fraction form
    589.41/882.09 = 415.53/x
  3. Step 3: Cross multiply
    589.41x = 882.09 × 415.53
  4. Step 4: Simplify right side
    589.41x = 366,534.86
  5. Step 5: Solve for x
    x = 366,534.86/589.41
  6. Step 6: Final answer
    x = 621.87

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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.