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Finding the Fourth Proportional to 589.04, 885.46 and 474.76

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Solution

The fourth proportional to 589.04, 885.46 and 474.76 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.04 : 885.46 = 474.76 : x
  2. Step 2: Convert to fraction form
    589.04/885.46 = 474.76/x
  3. Step 3: Cross multiply
    589.04x = 885.46 × 474.76
  4. Step 4: Simplify right side
    589.04x = 420,380.99
  5. Step 5: Solve for x
    x = 420,380.99/589.04
  6. Step 6: Final answer
    x = 713.67

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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.