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Finding the Fourth Proportional to 443.12, 611.82 and 303.52

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Solution

The fourth proportional to 443.12, 611.82 and 303.52 is: 419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.12 : 611.82 = 303.52 : x
  2. Step 2: Convert to fraction form
    443.12/611.82 = 303.52/x
  3. Step 3: Cross multiply
    443.12x = 611.82 × 303.52
  4. Step 4: Simplify right side
    443.12x = 185,699.61
  5. Step 5: Solve for x
    x = 185,699.61/443.12
  6. Step 6: Final answer
    x = 419.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.