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Finding the Fourth Proportional to 692.01, 1,038.22 and 302.00

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Solution

The fourth proportional to 692.01, 1,038.22 and 302.00 is: 453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 1,038.22 = 302.00 : x
  2. Step 2: Convert to fraction form
    692.01/1,038.22 = 302.00/x
  3. Step 3: Cross multiply
    692.01x = 1,038.22 × 302.00
  4. Step 4: Simplify right side
    692.01x = 313,536.49
  5. Step 5: Solve for x
    x = 313,536.49/692.01
  6. Step 6: Final answer
    x = 453.08

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