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Finding the Fourth Proportional to 459.81, 690.32 and 243.54

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Solution

The fourth proportional to 459.81, 690.32 and 243.54 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.81 : 690.32 = 243.54 : x
  2. Step 2: Convert to fraction form
    459.81/690.32 = 243.54/x
  3. Step 3: Cross multiply
    459.81x = 690.32 × 243.54
  4. Step 4: Simplify right side
    459.81x = 168,121.14
  5. Step 5: Solve for x
    x = 168,121.14/459.81
  6. Step 6: Final answer
    x = 365.63

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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.