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Finding the Fourth Proportional to 985.47, 1,478.21 and 336.21

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Solution

The fourth proportional to 985.47, 1,478.21 and 336.21 is: 504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.47 : 1,478.21 = 336.21 : x
  2. Step 2: Convert to fraction form
    985.47/1,478.21 = 336.21/x
  3. Step 3: Cross multiply
    985.47x = 1,478.21 × 336.21
  4. Step 4: Simplify right side
    985.47x = 496,979.91
  5. Step 5: Solve for x
    x = 496,979.91/985.47
  6. Step 6: Final answer
    x = 504.31

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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.