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Finding the Fourth Proportional to 954.44, 1,431.75 and 296.29

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Solution

The fourth proportional to 954.44, 1,431.75 and 296.29 is: 444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.44 : 1,431.75 = 296.29 : x
  2. Step 2: Convert to fraction form
    954.44/1,431.75 = 296.29/x
  3. Step 3: Cross multiply
    954.44x = 1,431.75 × 296.29
  4. Step 4: Simplify right side
    954.44x = 424,204.57
  5. Step 5: Solve for x
    x = 424,204.57/954.44
  6. Step 6: Final answer
    x = 444.46

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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.