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Finding the Fourth Proportional to 369.36, 508.60 and 320.24

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Solution

The fourth proportional to 369.36, 508.60 and 320.24 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 508.60 = 320.24 : x
  2. Step 2: Convert to fraction form
    369.36/508.60 = 320.24/x
  3. Step 3: Cross multiply
    369.36x = 508.60 × 320.24
  4. Step 4: Simplify right side
    369.36x = 162,874.06
  5. Step 5: Solve for x
    x = 162,874.06/369.36
  6. Step 6: Final answer
    x = 440.96

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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.