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Finding the Fourth Proportional to 368.88, 509.04 and 213.60

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Solution

The fourth proportional to 368.88, 509.04 and 213.60 is: 294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 509.04 = 213.60 : x
  2. Step 2: Convert to fraction form
    368.88/509.04 = 213.60/x
  3. Step 3: Cross multiply
    368.88x = 509.04 × 213.60
  4. Step 4: Simplify right side
    368.88x = 108,730.94
  5. Step 5: Solve for x
    x = 108,730.94/368.88
  6. Step 6: Final answer
    x = 294.76

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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.