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Finding the Fourth Proportional to 846.80, 1,270.16 and 298.80

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Solution

The fourth proportional to 846.80, 1,270.16 and 298.80 is: 448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.80 : 1,270.16 = 298.80 : x
  2. Step 2: Convert to fraction form
    846.80/1,270.16 = 298.80/x
  3. Step 3: Cross multiply
    846.80x = 1,270.16 × 298.80
  4. Step 4: Simplify right side
    846.80x = 379,523.81
  5. Step 5: Solve for x
    x = 379,523.81/846.80
  6. Step 6: Final answer
    x = 448.19

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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.