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Finding the Fourth Proportional to 705.22, 973.24 and 406.36

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Solution

The fourth proportional to 705.22, 973.24 and 406.36 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 973.24 = 406.36 : x
  2. Step 2: Convert to fraction form
    705.22/973.24 = 406.36/x
  3. Step 3: Cross multiply
    705.22x = 973.24 × 406.36
  4. Step 4: Simplify right side
    705.22x = 395,487.75
  5. Step 5: Solve for x
    x = 395,487.75/705.22
  6. Step 6: Final answer
    x = 560.80

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Why These Related Problems?

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