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Finding the Fourth Proportional to 617.49, 926.06 and 402.21

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Solution

The fourth proportional to 617.49, 926.06 and 402.21 is: 603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 926.06 = 402.21 : x
  2. Step 2: Convert to fraction form
    617.49/926.06 = 402.21/x
  3. Step 3: Cross multiply
    617.49x = 926.06 × 402.21
  4. Step 4: Simplify right side
    617.49x = 372,468.58
  5. Step 5: Solve for x
    x = 372,468.58/617.49
  6. Step 6: Final answer
    x = 603.20

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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.