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Finding the Fourth Proportional to 369.35, 509.66 and 219.91

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Solution

The fourth proportional to 369.35, 509.66 and 219.91 is: 303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.35 : 509.66 = 219.91 : x
  2. Step 2: Convert to fraction form
    369.35/509.66 = 219.91/x
  3. Step 3: Cross multiply
    369.35x = 509.66 × 219.91
  4. Step 4: Simplify right side
    369.35x = 112,078.61
  5. Step 5: Solve for x
    x = 112,078.61/369.35
  6. Step 6: Final answer
    x = 303.45

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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.