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Finding the Fourth Proportional to 589.92, 884.85 and 417.34

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Solution

The fourth proportional to 589.92, 884.85 and 417.34 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.92 : 884.85 = 417.34 : x
  2. Step 2: Convert to fraction form
    589.92/884.85 = 417.34/x
  3. Step 3: Cross multiply
    589.92x = 884.85 × 417.34
  4. Step 4: Simplify right side
    589.92x = 369,283.30
  5. Step 5: Solve for x
    x = 369,283.30/589.92
  6. Step 6: Final answer
    x = 625.99

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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.