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Finding the Fourth Proportional to 692.94, 955.98 and 430.86

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Solution

The fourth proportional to 692.94, 955.98 and 430.86 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.94 : 955.98 = 430.86 : x
  2. Step 2: Convert to fraction form
    692.94/955.98 = 430.86/x
  3. Step 3: Cross multiply
    692.94x = 955.98 × 430.86
  4. Step 4: Simplify right side
    692.94x = 411,893.54
  5. Step 5: Solve for x
    x = 411,893.54/692.94
  6. Step 6: Final answer
    x = 594.41

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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.