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Finding the Fourth Proportional to 491.67, 678.51 and 284.67

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Solution

The fourth proportional to 491.67, 678.51 and 284.67 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 678.51 = 284.67 : x
  2. Step 2: Convert to fraction form
    491.67/678.51 = 284.67/x
  3. Step 3: Cross multiply
    491.67x = 678.51 × 284.67
  4. Step 4: Simplify right side
    491.67x = 193,151.44
  5. Step 5: Solve for x
    x = 193,151.44/491.67
  6. Step 6: Final answer
    x = 392.85

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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.