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Finding the Fourth Proportional to 368.95, 509.28 and 229.09

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Solution

The fourth proportional to 368.95, 509.28 and 229.09 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.95 : 509.28 = 229.09 : x
  2. Step 2: Convert to fraction form
    368.95/509.28 = 229.09/x
  3. Step 3: Cross multiply
    368.95x = 509.28 × 229.09
  4. Step 4: Simplify right side
    368.95x = 116,670.96
  5. Step 5: Solve for x
    x = 116,670.96/368.95
  6. Step 6: Final answer
    x = 316.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.