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Finding the Fourth Proportional to 954.78, 1,431.66 and 338.22

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Solution

The fourth proportional to 954.78, 1,431.66 and 338.22 is: 507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,431.66 = 338.22 : x
  2. Step 2: Convert to fraction form
    954.78/1,431.66 = 338.22/x
  3. Step 3: Cross multiply
    954.78x = 1,431.66 × 338.22
  4. Step 4: Simplify right side
    954.78x = 484,216.05
  5. Step 5: Solve for x
    x = 484,216.05/954.78
  6. Step 6: Final answer
    x = 507.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.