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Finding the Fourth Proportional to 692.61, 955.86 and 397.94

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Solution

The fourth proportional to 692.61, 955.86 and 397.94 is: 549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.61 : 955.86 = 397.94 : x
  2. Step 2: Convert to fraction form
    692.61/955.86 = 397.94/x
  3. Step 3: Cross multiply
    692.61x = 955.86 × 397.94
  4. Step 4: Simplify right side
    692.61x = 380,374.93
  5. Step 5: Solve for x
    x = 380,374.93/692.61
  6. Step 6: Final answer
    x = 549.19

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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.