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Finding the Fourth Proportional to 946.49, 1,419.86 and 297.20

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Solution

The fourth proportional to 946.49, 1,419.86 and 297.20 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,419.86 = 297.20 : x
  2. Step 2: Convert to fraction form
    946.49/1,419.86 = 297.20/x
  3. Step 3: Cross multiply
    946.49x = 1,419.86 × 297.20
  4. Step 4: Simplify right side
    946.49x = 421,986.68
  5. Step 5: Solve for x
    x = 421,986.68/946.49
  6. Step 6: Final answer
    x = 445.85

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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.