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Finding the Fourth Proportional to 692.25, 955.31 and 416.25

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Solution

The fourth proportional to 692.25, 955.31 and 416.25 is: 574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 955.31 = 416.25 : x
  2. Step 2: Convert to fraction form
    692.25/955.31 = 416.25/x
  3. Step 3: Cross multiply
    692.25x = 955.31 × 416.25
  4. Step 4: Simplify right side
    692.25x = 397,645.71
  5. Step 5: Solve for x
    x = 397,645.71/692.25
  6. Step 6: Final answer
    x = 574.43

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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.