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Finding the Fourth Proportional to 370.89, 511.89 and 215.64

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Solution

The fourth proportional to 370.89, 511.89 and 215.64 is: 297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.89 : 511.89 = 215.64 : x
  2. Step 2: Convert to fraction form
    370.89/511.89 = 215.64/x
  3. Step 3: Cross multiply
    370.89x = 511.89 × 215.64
  4. Step 4: Simplify right side
    370.89x = 110,383.96
  5. Step 5: Solve for x
    x = 110,383.96/370.89
  6. Step 6: Final answer
    x = 297.62

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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.