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Finding the Fourth Proportional to 368.44, 508.62 and 213.16

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Solution

The fourth proportional to 368.44, 508.62 and 213.16 is: 294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 508.62 = 213.16 : x
  2. Step 2: Convert to fraction form
    368.44/508.62 = 213.16/x
  3. Step 3: Cross multiply
    368.44x = 508.62 × 213.16
  4. Step 4: Simplify right side
    368.44x = 108,417.44
  5. Step 5: Solve for x
    x = 108,417.44/368.44
  6. Step 6: Final answer
    x = 294.26

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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.