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Finding the Fourth Proportional to 491.66, 678.06 and 305.12

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Solution

The fourth proportional to 491.66, 678.06 and 305.12 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 678.06 = 305.12 : x
  2. Step 2: Convert to fraction form
    491.66/678.06 = 305.12/x
  3. Step 3: Cross multiply
    491.66x = 678.06 × 305.12
  4. Step 4: Simplify right side
    491.66x = 206,889.67
  5. Step 5: Solve for x
    x = 206,889.67/491.66
  6. Step 6: Final answer
    x = 420.80

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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.