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Finding the Fourth Proportional to 946.50, 1,419.75 and 297.26

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Solution

The fourth proportional to 946.50, 1,419.75 and 297.26 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,419.75 = 297.26 : x
  2. Step 2: Convert to fraction form
    946.50/1,419.75 = 297.26/x
  3. Step 3: Cross multiply
    946.50x = 1,419.75 × 297.26
  4. Step 4: Simplify right side
    946.50x = 422,027.79
  5. Step 5: Solve for x
    x = 422,027.79/946.50
  6. Step 6: Final answer
    x = 445.88

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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.