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Finding the Fourth Proportional to 356.09, 491.42 and 214.34

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Solution

The fourth proportional to 356.09, 491.42 and 214.34 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 491.42 = 214.34 : x
  2. Step 2: Convert to fraction form
    356.09/491.42 = 214.34/x
  3. Step 3: Cross multiply
    356.09x = 491.42 × 214.34
  4. Step 4: Simplify right side
    356.09x = 105,329.89
  5. Step 5: Solve for x
    x = 105,329.89/356.09
  6. Step 6: Final answer
    x = 295.80

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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.