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Finding the Fourth Proportional to 846.60, 1,269.98 and 230.31

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Solution

The fourth proportional to 846.60, 1,269.98 and 230.31 is: 345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.60 : 1,269.98 = 230.31 : x
  2. Step 2: Convert to fraction form
    846.60/1,269.98 = 230.31/x
  3. Step 3: Cross multiply
    846.60x = 1,269.98 × 230.31
  4. Step 4: Simplify right side
    846.60x = 292,489.67
  5. Step 5: Solve for x
    x = 292,489.67/846.60
  6. Step 6: Final answer
    x = 345.49

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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.