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Finding the Fourth Proportional to 846.53, 1,269.64 and 230.15

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Solution

The fourth proportional to 846.53, 1,269.64 and 230.15 is: 345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.53 : 1,269.64 = 230.15 : x
  2. Step 2: Convert to fraction form
    846.53/1,269.64 = 230.15/x
  3. Step 3: Cross multiply
    846.53x = 1,269.64 × 230.15
  4. Step 4: Simplify right side
    846.53x = 292,210.24
  5. Step 5: Solve for x
    x = 292,210.24/846.53
  6. Step 6: Final answer
    x = 345.19

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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.