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Finding the Fourth Proportional to 375.51, 518.11 and 233.70

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Solution

The fourth proportional to 375.51, 518.11 and 233.70 is: 322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.51 : 518.11 = 233.70 : x
  2. Step 2: Convert to fraction form
    375.51/518.11 = 233.70/x
  3. Step 3: Cross multiply
    375.51x = 518.11 × 233.70
  4. Step 4: Simplify right side
    375.51x = 121,082.31
  5. Step 5: Solve for x
    x = 121,082.31/375.51
  6. Step 6: Final answer
    x = 322.45

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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.