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Finding the Fourth Proportional to 830.25, 1,245.48 and 282.27

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Solution

The fourth proportional to 830.25, 1,245.48 and 282.27 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,245.48 = 282.27 : x
  2. Step 2: Convert to fraction form
    830.25/1,245.48 = 282.27/x
  3. Step 3: Cross multiply
    830.25x = 1,245.48 × 282.27
  4. Step 4: Simplify right side
    830.25x = 351,561.64
  5. Step 5: Solve for x
    x = 351,561.64/830.25
  6. Step 6: Final answer
    x = 423.44

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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.