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Finding the Fourth Proportional to 370.96, 512.40 and 368.62

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Solution

The fourth proportional to 370.96, 512.40 and 368.62 is: 509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 512.40 = 368.62 : x
  2. Step 2: Convert to fraction form
    370.96/512.40 = 368.62/x
  3. Step 3: Cross multiply
    370.96x = 512.40 × 368.62
  4. Step 4: Simplify right side
    370.96x = 188,880.89
  5. Step 5: Solve for x
    x = 188,880.89/370.96
  6. Step 6: Final answer
    x = 509.17

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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.