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Finding the Fourth Proportional to 491.19, 677.04 and 304.26

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Solution

The fourth proportional to 491.19, 677.04 and 304.26 is: 419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.19 : 677.04 = 304.26 : x
  2. Step 2: Convert to fraction form
    491.19/677.04 = 304.26/x
  3. Step 3: Cross multiply
    491.19x = 677.04 × 304.26
  4. Step 4: Simplify right side
    491.19x = 205,996.19
  5. Step 5: Solve for x
    x = 205,996.19/491.19
  6. Step 6: Final answer
    x = 419.38

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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.