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Finding the Fourth Proportional to 954.46, 1,431.60 and 377.38

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Solution

The fourth proportional to 954.46, 1,431.60 and 377.38 is: 566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.46 : 1,431.60 = 377.38 : x
  2. Step 2: Convert to fraction form
    954.46/1,431.60 = 377.38/x
  3. Step 3: Cross multiply
    954.46x = 1,431.60 × 377.38
  4. Step 4: Simplify right side
    954.46x = 540,257.21
  5. Step 5: Solve for x
    x = 540,257.21/954.46
  6. Step 6: Final answer
    x = 566.03

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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.