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Finding the Fourth Proportional to 692.69, 956.02 and 444.00

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Solution

The fourth proportional to 692.69, 956.02 and 444.00 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 956.02 = 444.00 : x
  2. Step 2: Convert to fraction form
    692.69/956.02 = 444.00/x
  3. Step 3: Cross multiply
    692.69x = 956.02 × 444.00
  4. Step 4: Simplify right side
    692.69x = 424,468.10
  5. Step 5: Solve for x
    x = 424,468.10/692.69
  6. Step 6: Final answer
    x = 612.78

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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.