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Finding the Fourth Proportional to 602.04, 903.36 and 324.48

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Solution

The fourth proportional to 602.04, 903.36 and 324.48 is: 486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 903.36 = 324.48 : x
  2. Step 2: Convert to fraction form
    602.04/903.36 = 324.48/x
  3. Step 3: Cross multiply
    602.04x = 903.36 × 324.48
  4. Step 4: Simplify right side
    602.04x = 293,122.25
  5. Step 5: Solve for x
    x = 293,122.25/602.04
  6. Step 6: Final answer
    x = 486.88

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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.