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Finding the Fourth Proportional to 407.06, 610.86 and 380.06

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Solution

The fourth proportional to 407.06, 610.86 and 380.06 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 610.86 = 380.06 : x
  2. Step 2: Convert to fraction form
    407.06/610.86 = 380.06/x
  3. Step 3: Cross multiply
    407.06x = 610.86 × 380.06
  4. Step 4: Simplify right side
    407.06x = 232,163.45
  5. Step 5: Solve for x
    x = 232,163.45/407.06
  6. Step 6: Final answer
    x = 570.34

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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.