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Finding the Fourth Proportional to 830.75, 1,245.42 and 310.46

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Solution

The fourth proportional to 830.75, 1,245.42 and 310.46 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,245.42 = 310.46 : x
  2. Step 2: Convert to fraction form
    830.75/1,245.42 = 310.46/x
  3. Step 3: Cross multiply
    830.75x = 1,245.42 × 310.46
  4. Step 4: Simplify right side
    830.75x = 386,646.87
  5. Step 5: Solve for x
    x = 386,646.87/830.75
  6. Step 6: Final answer
    x = 465.42

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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.