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Finding the Fourth Proportional to 491.99, 678.94 and 270.95

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Solution

The fourth proportional to 491.99, 678.94 and 270.95 is: 373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.99 : 678.94 = 270.95 : x
  2. Step 2: Convert to fraction form
    491.99/678.94 = 270.95/x
  3. Step 3: Cross multiply
    491.99x = 678.94 × 270.95
  4. Step 4: Simplify right side
    491.99x = 183,958.79
  5. Step 5: Solve for x
    x = 183,958.79/491.99
  6. Step 6: Final answer
    x = 373.91

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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.