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Finding the Fourth Proportional to 589.16, 883.16 and 280.85

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Solution

The fourth proportional to 589.16, 883.16 and 280.85 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 883.16 = 280.85 : x
  2. Step 2: Convert to fraction form
    589.16/883.16 = 280.85/x
  3. Step 3: Cross multiply
    589.16x = 883.16 × 280.85
  4. Step 4: Simplify right side
    589.16x = 248,031.07
  5. Step 5: Solve for x
    x = 248,031.07/589.16
  6. Step 6: Final answer
    x = 420.99

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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.