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Finding the Fourth Proportional to 846.76, 1,270.22 and 230.51

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Solution

The fourth proportional to 846.76, 1,270.22 and 230.51 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.76 : 1,270.22 = 230.51 : x
  2. Step 2: Convert to fraction form
    846.76/1,270.22 = 230.51/x
  3. Step 3: Cross multiply
    846.76x = 1,270.22 × 230.51
  4. Step 4: Simplify right side
    846.76x = 292,797.47
  5. Step 5: Solve for x
    x = 292,797.47/846.76
  6. Step 6: Final answer
    x = 345.79

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1.5x scale

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.