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Finding the Fourth Proportional to 356.63, 491.64 and 294.37

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Solution

The fourth proportional to 356.63, 491.64 and 294.37 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.63 : 491.64 = 294.37 : x
  2. Step 2: Convert to fraction form
    356.63/491.64 = 294.37/x
  3. Step 3: Cross multiply
    356.63x = 491.64 × 294.37
  4. Step 4: Simplify right side
    356.63x = 144,724.07
  5. Step 5: Solve for x
    x = 144,724.07/356.63
  6. Step 6: Final answer
    x = 405.81

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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.