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Finding the Fourth Proportional to 463.08, 692.70 and 280.08

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Solution

The fourth proportional to 463.08, 692.70 and 280.08 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 692.70 = 280.08 : x
  2. Step 2: Convert to fraction form
    463.08/692.70 = 280.08/x
  3. Step 3: Cross multiply
    463.08x = 692.70 × 280.08
  4. Step 4: Simplify right side
    463.08x = 194,011.42
  5. Step 5: Solve for x
    x = 194,011.42/463.08
  6. Step 6: Final answer
    x = 418.96

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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.