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Finding the Fourth Proportional to 491.51, 678.06 and 304.62

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Solution

The fourth proportional to 491.51, 678.06 and 304.62 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.51 : 678.06 = 304.62 : x
  2. Step 2: Convert to fraction form
    491.51/678.06 = 304.62/x
  3. Step 3: Cross multiply
    491.51x = 678.06 × 304.62
  4. Step 4: Simplify right side
    491.51x = 206,550.64
  5. Step 5: Solve for x
    x = 206,550.64/491.51
  6. Step 6: Final answer
    x = 420.24

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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.