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Finding the Fourth Proportional to 412.07, 616.23 and 308.03

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Solution

The fourth proportional to 412.07, 616.23 and 308.03 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 616.23 = 308.03 : x
  2. Step 2: Convert to fraction form
    412.07/616.23 = 308.03/x
  3. Step 3: Cross multiply
    412.07x = 616.23 × 308.03
  4. Step 4: Simplify right side
    412.07x = 189,814.25
  5. Step 5: Solve for x
    x = 189,814.25/412.07
  6. Step 6: Final answer
    x = 460.64

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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.