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Finding the Fourth Proportional to 416.03, 624.03 and 324.80

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Solution

The fourth proportional to 416.03, 624.03 and 324.80 is: 487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.03 : 624.03 = 324.80 : x
  2. Step 2: Convert to fraction form
    416.03/624.03 = 324.80/x
  3. Step 3: Cross multiply
    416.03x = 624.03 × 324.80
  4. Step 4: Simplify right side
    416.03x = 202,681.82
  5. Step 5: Solve for x
    x = 202,681.82/416.03
  6. Step 6: Final answer
    x = 487.19

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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.