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Finding the Fourth Proportional to 375.24, 517.50 and 235.08

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Solution

The fourth proportional to 375.24, 517.50 and 235.08 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.24 : 517.50 = 235.08 : x
  2. Step 2: Convert to fraction form
    375.24/517.50 = 235.08/x
  3. Step 3: Cross multiply
    375.24x = 517.50 × 235.08
  4. Step 4: Simplify right side
    375.24x = 121,653.90
  5. Step 5: Solve for x
    x = 121,653.90/375.24
  6. Step 6: Final answer
    x = 324.20

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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.