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Finding the Fourth Proportional to 373.58, 515.42 and 233.84

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Solution

The fourth proportional to 373.58, 515.42 and 233.84 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.58 : 515.42 = 233.84 : x
  2. Step 2: Convert to fraction form
    373.58/515.42 = 233.84/x
  3. Step 3: Cross multiply
    373.58x = 515.42 × 233.84
  4. Step 4: Simplify right side
    373.58x = 120,523.82
  5. Step 5: Solve for x
    x = 120,523.82/373.58
  6. Step 6: Final answer
    x = 322.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.