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Finding the Fourth Proportional to 589.08, 812.34 and 379.02

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Solution

The fourth proportional to 589.08, 812.34 and 379.02 is: 522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 812.34 = 379.02 : x
  2. Step 2: Convert to fraction form
    589.08/812.34 = 379.02/x
  3. Step 3: Cross multiply
    589.08x = 812.34 × 379.02
  4. Step 4: Simplify right side
    589.08x = 307,893.11
  5. Step 5: Solve for x
    x = 307,893.11/589.08
  6. Step 6: Final answer
    x = 522.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.