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Finding the Fourth Proportional to 369.82, 554.37 and 309.07

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Solution

The fourth proportional to 369.82, 554.37 and 309.07 is: 463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 554.37 = 309.07 : x
  2. Step 2: Convert to fraction form
    369.82/554.37 = 309.07/x
  3. Step 3: Cross multiply
    369.82x = 554.37 × 309.07
  4. Step 4: Simplify right side
    369.82x = 171,339.14
  5. Step 5: Solve for x
    x = 171,339.14/369.82
  6. Step 6: Final answer
    x = 463.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.