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Finding the Fourth Proportional to 662.26, 914.07 and 428.98

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Solution

The fourth proportional to 662.26, 914.07 and 428.98 is: 592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.26 : 914.07 = 428.98 : x
  2. Step 2: Convert to fraction form
    662.26/914.07 = 428.98/x
  3. Step 3: Cross multiply
    662.26x = 914.07 × 428.98
  4. Step 4: Simplify right side
    662.26x = 392,117.75
  5. Step 5: Solve for x
    x = 392,117.75/662.26
  6. Step 6: Final answer
    x = 592.09

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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.