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Finding the Fourth Proportional to 483.10, 721.12 and 415.06

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Solution

The fourth proportional to 483.10, 721.12 and 415.06 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.10 : 721.12 = 415.06 : x
  2. Step 2: Convert to fraction form
    483.10/721.12 = 415.06/x
  3. Step 3: Cross multiply
    483.10x = 721.12 × 415.06
  4. Step 4: Simplify right side
    483.10x = 299,305.99
  5. Step 5: Solve for x
    x = 299,305.99/483.10
  6. Step 6: Final answer
    x = 619.55

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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.