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Finding the Fourth Proportional to 662.14, 913.37 and 429.27

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Solution

The fourth proportional to 662.14, 913.37 and 429.27 is: 592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 913.37 = 429.27 : x
  2. Step 2: Convert to fraction form
    662.14/913.37 = 429.27/x
  3. Step 3: Cross multiply
    662.14x = 913.37 × 429.27
  4. Step 4: Simplify right side
    662.14x = 392,082.34
  5. Step 5: Solve for x
    x = 392,082.34/662.14
  6. Step 6: Final answer
    x = 592.14

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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.