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Finding the Fourth Proportional to 406.95, 610.47 and 175.83

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Solution

The fourth proportional to 406.95, 610.47 and 175.83 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.95 : 610.47 = 175.83 : x
  2. Step 2: Convert to fraction form
    406.95/610.47 = 175.83/x
  3. Step 3: Cross multiply
    406.95x = 610.47 × 175.83
  4. Step 4: Simplify right side
    406.95x = 107,338.94
  5. Step 5: Solve for x
    x = 107,338.94/406.95
  6. Step 6: Final answer
    x = 263.76

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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.