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Finding the Fourth Proportional to 579.84, 799.65 and 461.67

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Solution

The fourth proportional to 579.84, 799.65 and 461.67 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 799.65 = 461.67 : x
  2. Step 2: Convert to fraction form
    579.84/799.65 = 461.67/x
  3. Step 3: Cross multiply
    579.84x = 799.65 × 461.67
  4. Step 4: Simplify right side
    579.84x = 369,174.42
  5. Step 5: Solve for x
    x = 369,174.42/579.84
  6. Step 6: Final answer
    x = 636.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.