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Finding the Fourth Proportional to 946.31, 1,419.56 and 252.99

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Solution

The fourth proportional to 946.31, 1,419.56 and 252.99 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.31 : 1,419.56 = 252.99 : x
  2. Step 2: Convert to fraction form
    946.31/1,419.56 = 252.99/x
  3. Step 3: Cross multiply
    946.31x = 1,419.56 × 252.99
  4. Step 4: Simplify right side
    946.31x = 359,133.22
  5. Step 5: Solve for x
    x = 359,133.22/946.31
  6. Step 6: Final answer
    x = 379.51

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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.