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Finding the Fourth Proportional to 461.11, 692.48 and 424.47

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Solution

The fourth proportional to 461.11, 692.48 and 424.47 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.11 : 692.48 = 424.47 : x
  2. Step 2: Convert to fraction form
    461.11/692.48 = 424.47/x
  3. Step 3: Cross multiply
    461.11x = 692.48 × 424.47
  4. Step 4: Simplify right side
    461.11x = 293,936.99
  5. Step 5: Solve for x
    x = 293,936.99/461.11
  6. Step 6: Final answer
    x = 637.46

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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.