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Finding the Fourth Proportional to 590.02, 884.41 and 281.41

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Solution

The fourth proportional to 590.02, 884.41 and 281.41 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.41 = 281.41 : x
  2. Step 2: Convert to fraction form
    590.02/884.41 = 281.41/x
  3. Step 3: Cross multiply
    590.02x = 884.41 × 281.41
  4. Step 4: Simplify right side
    590.02x = 248,881.82
  5. Step 5: Solve for x
    x = 248,881.82/590.02
  6. Step 6: Final answer
    x = 421.82

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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.