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Finding the Fourth Proportional to 491.58, 678.39 and 270.54

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Solution

The fourth proportional to 491.58, 678.39 and 270.54 is: 373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.58 : 678.39 = 270.54 : x
  2. Step 2: Convert to fraction form
    491.58/678.39 = 270.54/x
  3. Step 3: Cross multiply
    491.58x = 678.39 × 270.54
  4. Step 4: Simplify right side
    491.58x = 183,532.65
  5. Step 5: Solve for x
    x = 183,532.65/491.58
  6. Step 6: Final answer
    x = 373.35

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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.