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Finding the Fourth Proportional to 617.80, 926.79 and 402.34

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Solution

The fourth proportional to 617.80, 926.79 and 402.34 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 926.79 = 402.34 : x
  2. Step 2: Convert to fraction form
    617.80/926.79 = 402.34/x
  3. Step 3: Cross multiply
    617.80x = 926.79 × 402.34
  4. Step 4: Simplify right side
    617.80x = 372,884.69
  5. Step 5: Solve for x
    x = 372,884.69/617.80
  6. Step 6: Final answer
    x = 603.57

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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.