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Finding the Fourth Proportional to 589.24, 883.30 and 281.01

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Solution

The fourth proportional to 589.24, 883.30 and 281.01 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 883.30 = 281.01 : x
  2. Step 2: Convert to fraction form
    589.24/883.30 = 281.01/x
  3. Step 3: Cross multiply
    589.24x = 883.30 × 281.01
  4. Step 4: Simplify right side
    589.24x = 248,214.73
  5. Step 5: Solve for x
    x = 248,214.73/589.24
  6. Step 6: Final answer
    x = 421.25

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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.