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Finding the Fourth Proportional to 602.76, 903.36 and 329.04

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Solution

The fourth proportional to 602.76, 903.36 and 329.04 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 903.36 = 329.04 : x
  2. Step 2: Convert to fraction form
    602.76/903.36 = 329.04/x
  3. Step 3: Cross multiply
    602.76x = 903.36 × 329.04
  4. Step 4: Simplify right side
    602.76x = 297,241.57
  5. Step 5: Solve for x
    x = 297,241.57/602.76
  6. Step 6: Final answer
    x = 493.13

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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.