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Finding the Fourth Proportional to 816.59, 1,224.27 and 384.05

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Solution

The fourth proportional to 816.59, 1,224.27 and 384.05 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.59 : 1,224.27 = 384.05 : x
  2. Step 2: Convert to fraction form
    816.59/1,224.27 = 384.05/x
  3. Step 3: Cross multiply
    816.59x = 1,224.27 × 384.05
  4. Step 4: Simplify right side
    816.59x = 470,174.77
  5. Step 5: Solve for x
    x = 470,174.77/816.59
  6. Step 6: Final answer
    x = 575.78

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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.