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Finding the Fourth Proportional to 653.86, 981.23 and 243.33

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Solution

The fourth proportional to 653.86, 981.23 and 243.33 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.86 : 981.23 = 243.33 : x
  2. Step 2: Convert to fraction form
    653.86/981.23 = 243.33/x
  3. Step 3: Cross multiply
    653.86x = 981.23 × 243.33
  4. Step 4: Simplify right side
    653.86x = 238,762.70
  5. Step 5: Solve for x
    x = 238,762.70/653.86
  6. Step 6: Final answer
    x = 365.16

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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.