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Finding the Fourth Proportional to 692.06, 954.91 and 412.42

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Solution

The fourth proportional to 692.06, 954.91 and 412.42 is: 569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 954.91 = 412.42 : x
  2. Step 2: Convert to fraction form
    692.06/954.91 = 412.42/x
  3. Step 3: Cross multiply
    692.06x = 954.91 × 412.42
  4. Step 4: Simplify right side
    692.06x = 393,823.98
  5. Step 5: Solve for x
    x = 393,823.98/692.06
  6. Step 6: Final answer
    x = 569.06

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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.