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Finding the Fourth Proportional to 373.66, 515.40 and 289.85

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Solution

The fourth proportional to 373.66, 515.40 and 289.85 is: 399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.66 : 515.40 = 289.85 : x
  2. Step 2: Convert to fraction form
    373.66/515.40 = 289.85/x
  3. Step 3: Cross multiply
    373.66x = 515.40 × 289.85
  4. Step 4: Simplify right side
    373.66x = 149,391.07
  5. Step 5: Solve for x
    x = 149,391.07/373.66
  6. Step 6: Final answer
    x = 399.80

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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.