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Finding the Fourth Proportional to 368.74, 509.18 and 229.09

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Solution

The fourth proportional to 368.74, 509.18 and 229.09 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.74 : 509.18 = 229.09 : x
  2. Step 2: Convert to fraction form
    368.74/509.18 = 229.09/x
  3. Step 3: Cross multiply
    368.74x = 509.18 × 229.09
  4. Step 4: Simplify right side
    368.74x = 116,648.77
  5. Step 5: Solve for x
    x = 116,648.77/368.74
  6. Step 6: Final answer
    x = 316.35

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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.