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Finding the Fourth Proportional to 368.50, 508.53 and 213.34

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Solution

The fourth proportional to 368.50, 508.53 and 213.34 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.50 : 508.53 = 213.34 : x
  2. Step 2: Convert to fraction form
    368.50/508.53 = 213.34/x
  3. Step 3: Cross multiply
    368.50x = 508.53 × 213.34
  4. Step 4: Simplify right side
    368.50x = 108,489.79
  5. Step 5: Solve for x
    x = 108,489.79/368.50
  6. Step 6: Final answer
    x = 294.41

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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.