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Finding the Fourth Proportional to 491.62, 678.37 and 270.58

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Solution

The fourth proportional to 491.62, 678.37 and 270.58 is: 373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.62 : 678.37 = 270.58 : x
  2. Step 2: Convert to fraction form
    491.62/678.37 = 270.58/x
  3. Step 3: Cross multiply
    491.62x = 678.37 × 270.58
  4. Step 4: Simplify right side
    491.62x = 183,553.35
  5. Step 5: Solve for x
    x = 183,553.35/491.62
  6. Step 6: Final answer
    x = 373.36

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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.