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Finding the Fourth Proportional to 590.55, 884.62 and 281.47

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Solution

The fourth proportional to 590.55, 884.62 and 281.47 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.55 : 884.62 = 281.47 : x
  2. Step 2: Convert to fraction form
    590.55/884.62 = 281.47/x
  3. Step 3: Cross multiply
    590.55x = 884.62 × 281.47
  4. Step 4: Simplify right side
    590.55x = 248,993.99
  5. Step 5: Solve for x
    x = 248,993.99/590.55
  6. Step 6: Final answer
    x = 421.63

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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.