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Finding the Fourth Proportional to 491.89, 678.83 and 305.48

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Solution

The fourth proportional to 491.89, 678.83 and 305.48 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.89 : 678.83 = 305.48 : x
  2. Step 2: Convert to fraction form
    491.89/678.83 = 305.48/x
  3. Step 3: Cross multiply
    491.89x = 678.83 × 305.48
  4. Step 4: Simplify right side
    491.89x = 207,368.99
  5. Step 5: Solve for x
    x = 207,368.99/491.89
  6. Step 6: Final answer
    x = 421.58

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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.