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Finding the Fourth Proportional to 830.67, 1,245.60 and 282.70

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Solution

The fourth proportional to 830.67, 1,245.60 and 282.70 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,245.60 = 282.70 : x
  2. Step 2: Convert to fraction form
    830.67/1,245.60 = 282.70/x
  3. Step 3: Cross multiply
    830.67x = 1,245.60 × 282.70
  4. Step 4: Simplify right side
    830.67x = 352,131.12
  5. Step 5: Solve for x
    x = 352,131.12/830.67
  6. Step 6: Final answer
    x = 423.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.