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Finding the Fourth Proportional to 483.36, 667.10 and 297.02

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Solution

The fourth proportional to 483.36, 667.10 and 297.02 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.36 : 667.10 = 297.02 : x
  2. Step 2: Convert to fraction form
    483.36/667.10 = 297.02/x
  3. Step 3: Cross multiply
    483.36x = 667.10 × 297.02
  4. Step 4: Simplify right side
    483.36x = 198,142.04
  5. Step 5: Solve for x
    x = 198,142.04/483.36
  6. Step 6: Final answer
    x = 409.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.