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Finding the Fourth Proportional to 463.78, 692.27 and 409.11

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Solution

The fourth proportional to 463.78, 692.27 and 409.11 is: 610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 692.27 = 409.11 : x
  2. Step 2: Convert to fraction form
    463.78/692.27 = 409.11/x
  3. Step 3: Cross multiply
    463.78x = 692.27 × 409.11
  4. Step 4: Simplify right side
    463.78x = 283,214.58
  5. Step 5: Solve for x
    x = 283,214.58/463.78
  6. Step 6: Final answer
    x = 610.67

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Why These Related Problems?

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