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Finding the Fourth Proportional to 373.51, 515.69 and 233.84

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Solution

The fourth proportional to 373.51, 515.69 and 233.84 is: 322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.51 : 515.69 = 233.84 : x
  2. Step 2: Convert to fraction form
    373.51/515.69 = 233.84/x
  3. Step 3: Cross multiply
    373.51x = 515.69 × 233.84
  4. Step 4: Simplify right side
    373.51x = 120,586.96
  5. Step 5: Solve for x
    x = 120,586.96/373.51
  6. Step 6: Final answer
    x = 322.85

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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.