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Finding the Fourth Proportional to 830.15, 1,245.22 and 282.32

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Solution

The fourth proportional to 830.15, 1,245.22 and 282.32 is: 423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.15 : 1,245.22 = 282.32 : x
  2. Step 2: Convert to fraction form
    830.15/1,245.22 = 282.32/x
  3. Step 3: Cross multiply
    830.15x = 1,245.22 × 282.32
  4. Step 4: Simplify right side
    830.15x = 351,542.87
  5. Step 5: Solve for x
    x = 351,542.87/830.15
  6. Step 6: Final answer
    x = 423.47

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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.