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Finding the Fourth Proportional to 368.37, 509.36 and 322.25

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Solution

The fourth proportional to 368.37, 509.36 and 322.25 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.37 : 509.36 = 322.25 : x
  2. Step 2: Convert to fraction form
    368.37/509.36 = 322.25/x
  3. Step 3: Cross multiply
    368.37x = 509.36 × 322.25
  4. Step 4: Simplify right side
    368.37x = 164,137.10
  5. Step 5: Solve for x
    x = 164,137.10/368.37
  6. Step 6: Final answer
    x = 445.58

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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.