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Finding the Fourth Proportional to 491.07, 677.67 and 270.02

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Solution

The fourth proportional to 491.07, 677.67 and 270.02 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.07 : 677.67 = 270.02 : x
  2. Step 2: Convert to fraction form
    491.07/677.67 = 270.02/x
  3. Step 3: Cross multiply
    491.07x = 677.67 × 270.02
  4. Step 4: Simplify right side
    491.07x = 182,984.45
  5. Step 5: Solve for x
    x = 182,984.45/491.07
  6. Step 6: Final answer
    x = 372.62

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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.