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Finding the Fourth Proportional to 692.50, 955.66 and 397.82

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Solution

The fourth proportional to 692.50, 955.66 and 397.82 is: 549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 955.66 = 397.82 : x
  2. Step 2: Convert to fraction form
    692.50/955.66 = 397.82/x
  3. Step 3: Cross multiply
    692.50x = 955.66 × 397.82
  4. Step 4: Simplify right side
    692.50x = 380,180.66
  5. Step 5: Solve for x
    x = 380,180.66/692.50
  6. Step 6: Final answer
    x = 549.00

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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.