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Finding the Fourth Proportional to 390.42, 538.75 and 235.14

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Solution

The fourth proportional to 390.42, 538.75 and 235.14 is: 324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 538.75 = 235.14 : x
  2. Step 2: Convert to fraction form
    390.42/538.75 = 235.14/x
  3. Step 3: Cross multiply
    390.42x = 538.75 × 235.14
  4. Step 4: Simplify right side
    390.42x = 126,681.68
  5. Step 5: Solve for x
    x = 126,681.68/390.42
  6. Step 6: Final answer
    x = 324.48

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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.