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Finding the Fourth Proportional to 705.63, 973.83 and 406.96

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Solution

The fourth proportional to 705.63, 973.83 and 406.96 is: 561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.63 : 973.83 = 406.96 : x
  2. Step 2: Convert to fraction form
    705.63/973.83 = 406.96/x
  3. Step 3: Cross multiply
    705.63x = 973.83 × 406.96
  4. Step 4: Simplify right side
    705.63x = 396,309.86
  5. Step 5: Solve for x
    x = 396,309.86/705.63
  6. Step 6: Final answer
    x = 561.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.