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Finding the Fourth Proportional to 692.48, 955.56 and 412.72

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Solution

The fourth proportional to 692.48, 955.56 and 412.72 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.48 : 955.56 = 412.72 : x
  2. Step 2: Convert to fraction form
    692.48/955.56 = 412.72/x
  3. Step 3: Cross multiply
    692.48x = 955.56 × 412.72
  4. Step 4: Simplify right side
    692.48x = 394,378.72
  5. Step 5: Solve for x
    x = 394,378.72/692.48
  6. Step 6: Final answer
    x = 569.52

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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.