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Finding the Fourth Proportional to 692.06, 1,037.28 and 306.50

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Solution

The fourth proportional to 692.06, 1,037.28 and 306.50 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 1,037.28 = 306.50 : x
  2. Step 2: Convert to fraction form
    692.06/1,037.28 = 306.50/x
  3. Step 3: Cross multiply
    692.06x = 1,037.28 × 306.50
  4. Step 4: Simplify right side
    692.06x = 317,926.32
  5. Step 5: Solve for x
    x = 317,926.32/692.06
  6. Step 6: Final answer
    x = 459.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.