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Finding the Fourth Proportional to 483.40, 722.03 and 415.12

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Solution

The fourth proportional to 483.40, 722.03 and 415.12 is: 620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 722.03 = 415.12 : x
  2. Step 2: Convert to fraction form
    483.40/722.03 = 415.12/x
  3. Step 3: Cross multiply
    483.40x = 722.03 × 415.12
  4. Step 4: Simplify right side
    483.40x = 299,729.09
  5. Step 5: Solve for x
    x = 299,729.09/483.40
  6. Step 6: Final answer
    x = 620.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.