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Finding the Fourth Proportional to 368.64, 508.71 and 213.36

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Solution

The fourth proportional to 368.64, 508.71 and 213.36 is: 294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 508.71 = 213.36 : x
  2. Step 2: Convert to fraction form
    368.64/508.71 = 213.36/x
  3. Step 3: Cross multiply
    368.64x = 508.71 × 213.36
  4. Step 4: Simplify right side
    368.64x = 108,538.37
  5. Step 5: Solve for x
    x = 108,538.37/368.64
  6. Step 6: Final answer
    x = 294.43

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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.