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Finding the Fourth Proportional to 705.36, 973.44 and 406.71

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Solution

The fourth proportional to 705.36, 973.44 and 406.71 is: 561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 973.44 = 406.71 : x
  2. Step 2: Convert to fraction form
    705.36/973.44 = 406.71/x
  3. Step 3: Cross multiply
    705.36x = 973.44 × 406.71
  4. Step 4: Simplify right side
    705.36x = 395,907.78
  5. Step 5: Solve for x
    x = 395,907.78/705.36
  6. Step 6: Final answer
    x = 561.28

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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.