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Finding the Fourth Proportional to 463.34, 692.29 and 447.19

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Solution

The fourth proportional to 463.34, 692.29 and 447.19 is: 668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 692.29 = 447.19 : x
  2. Step 2: Convert to fraction form
    463.34/692.29 = 447.19/x
  3. Step 3: Cross multiply
    463.34x = 692.29 × 447.19
  4. Step 4: Simplify right side
    463.34x = 309,581.20
  5. Step 5: Solve for x
    x = 309,581.20/463.34
  6. Step 6: Final answer
    x = 668.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.