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Finding the Fourth Proportional to 483.14, 722.82 and 414.74

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Solution

The fourth proportional to 483.14, 722.82 and 414.74 is: 620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.14 : 722.82 = 414.74 : x
  2. Step 2: Convert to fraction form
    483.14/722.82 = 414.74/x
  3. Step 3: Cross multiply
    483.14x = 722.82 × 414.74
  4. Step 4: Simplify right side
    483.14x = 299,782.37
  5. Step 5: Solve for x
    x = 299,782.37/483.14
  6. Step 6: Final answer
    x = 620.49

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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.