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Finding the Fourth Proportional to 830.16, 1,245.33 and 419.31

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Solution

The fourth proportional to 830.16, 1,245.33 and 419.31 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,245.33 = 419.31 : x
  2. Step 2: Convert to fraction form
    830.16/1,245.33 = 419.31/x
  3. Step 3: Cross multiply
    830.16x = 1,245.33 × 419.31
  4. Step 4: Simplify right side
    830.16x = 522,179.32
  5. Step 5: Solve for x
    x = 522,179.32/830.16
  6. Step 6: Final answer
    x = 629.01

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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.