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Finding the Fourth Proportional to 954.01, 1,431.11 and 338.07

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Solution

The fourth proportional to 954.01, 1,431.11 and 338.07 is: 507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.01 : 1,431.11 = 338.07 : x
  2. Step 2: Convert to fraction form
    954.01/1,431.11 = 338.07/x
  3. Step 3: Cross multiply
    954.01x = 1,431.11 × 338.07
  4. Step 4: Simplify right side
    954.01x = 483,815.36
  5. Step 5: Solve for x
    x = 483,815.36/954.01
  6. Step 6: Final answer
    x = 507.14

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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.