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Finding the Fourth Proportional to 370.23, 510.99 and 239.40

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Solution

The fourth proportional to 370.23, 510.99 and 239.40 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.23 : 510.99 = 239.40 : x
  2. Step 2: Convert to fraction form
    370.23/510.99 = 239.40/x
  3. Step 3: Cross multiply
    370.23x = 510.99 × 239.40
  4. Step 4: Simplify right side
    370.23x = 122,331.01
  5. Step 5: Solve for x
    x = 122,331.01/370.23
  6. Step 6: Final answer
    x = 330.42

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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.