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Finding the Fourth Proportional to 373.84, 559.95 and 229.12

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Solution

The fourth proportional to 373.84, 559.95 and 229.12 is: 343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.84 : 559.95 = 229.12 : x
  2. Step 2: Convert to fraction form
    373.84/559.95 = 229.12/x
  3. Step 3: Cross multiply
    373.84x = 559.95 × 229.12
  4. Step 4: Simplify right side
    373.84x = 128,295.74
  5. Step 5: Solve for x
    x = 128,295.74/373.84
  6. Step 6: Final answer
    x = 343.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.