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Finding the Fourth Proportional to 607.74, 910.28 and 329.22

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Solution

The fourth proportional to 607.74, 910.28 and 329.22 is: 493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.74 : 910.28 = 329.22 : x
  2. Step 2: Convert to fraction form
    607.74/910.28 = 329.22/x
  3. Step 3: Cross multiply
    607.74x = 910.28 × 329.22
  4. Step 4: Simplify right side
    607.74x = 299,682.38
  5. Step 5: Solve for x
    x = 299,682.38/607.74
  6. Step 6: Final answer
    x = 493.11

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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.