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Finding the Fourth Proportional to 954.47, 1,431.70 and 338.22

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Solution

The fourth proportional to 954.47, 1,431.70 and 338.22 is: 507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.47 : 1,431.70 = 338.22 : x
  2. Step 2: Convert to fraction form
    954.47/1,431.70 = 338.22/x
  3. Step 3: Cross multiply
    954.47x = 1,431.70 × 338.22
  4. Step 4: Simplify right side
    954.47x = 484,228.73
  5. Step 5: Solve for x
    x = 484,228.73/954.47
  6. Step 6: Final answer
    x = 507.33

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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.