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Finding the Fourth Proportional to 370.89, 511.16 and 260.19

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Solution

The fourth proportional to 370.89, 511.16 and 260.19 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.89 : 511.16 = 260.19 : x
  2. Step 2: Convert to fraction form
    370.89/511.16 = 260.19/x
  3. Step 3: Cross multiply
    370.89x = 511.16 × 260.19
  4. Step 4: Simplify right side
    370.89x = 132,997.42
  5. Step 5: Solve for x
    x = 132,997.42/370.89
  6. Step 6: Final answer
    x = 358.59

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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.