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Finding the Fourth Proportional to 412.93, 620.03 and 355.79

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Solution

The fourth proportional to 412.93, 620.03 and 355.79 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 620.03 = 355.79 : x
  2. Step 2: Convert to fraction form
    412.93/620.03 = 355.79/x
  3. Step 3: Cross multiply
    412.93x = 620.03 × 355.79
  4. Step 4: Simplify right side
    412.93x = 220,597.37
  5. Step 5: Solve for x
    x = 220,597.37/412.93
  6. Step 6: Final answer
    x = 534.23

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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.