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Finding the Fourth Proportional to 954.02, 1,431.01 and 295.88

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Solution

The fourth proportional to 954.02, 1,431.01 and 295.88 is: 443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.02 : 1,431.01 = 295.88 : x
  2. Step 2: Convert to fraction form
    954.02/1,431.01 = 295.88/x
  3. Step 3: Cross multiply
    954.02x = 1,431.01 × 295.88
  4. Step 4: Simplify right side
    954.02x = 423,407.24
  5. Step 5: Solve for x
    x = 423,407.24/954.02
  6. Step 6: Final answer
    x = 443.81

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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.