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Finding the Fourth Proportional to 412.16, 618.86 and 259.06

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Solution

The fourth proportional to 412.16, 618.86 and 259.06 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 618.86 = 259.06 : x
  2. Step 2: Convert to fraction form
    412.16/618.86 = 259.06/x
  3. Step 3: Cross multiply
    412.16x = 618.86 × 259.06
  4. Step 4: Simplify right side
    412.16x = 160,321.87
  5. Step 5: Solve for x
    x = 160,321.87/412.16
  6. Step 6: Final answer
    x = 388.98

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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.