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Finding the Fourth Proportional to 985.52, 1,478.31 and 336.25

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Solution

The fourth proportional to 985.52, 1,478.31 and 336.25 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.52 : 1,478.31 = 336.25 : x
  2. Step 2: Convert to fraction form
    985.52/1,478.31 = 336.25/x
  3. Step 3: Cross multiply
    985.52x = 1,478.31 × 336.25
  4. Step 4: Simplify right side
    985.52x = 497,081.74
  5. Step 5: Solve for x
    x = 497,081.74/985.52
  6. Step 6: Final answer
    x = 504.39

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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.