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Finding the Fourth Proportional to 372.40, 513.64 and 289.47

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Solution

The fourth proportional to 372.40, 513.64 and 289.47 is: 399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.40 : 513.64 = 289.47 : x
  2. Step 2: Convert to fraction form
    372.40/513.64 = 289.47/x
  3. Step 3: Cross multiply
    372.40x = 513.64 × 289.47
  4. Step 4: Simplify right side
    372.40x = 148,685.66
  5. Step 5: Solve for x
    x = 148,685.66/372.40
  6. Step 6: Final answer
    x = 399.27

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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.