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Finding the Fourth Proportional to 390, 538.32 and 252

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Solution

The fourth proportional to 390, 538.32 and 252 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390 : 538.32 = 252 : x
  2. Step 2: Convert to fraction form
    390/538.32 = 252/x
  3. Step 3: Cross multiply
    390x = 538.32 × 252
  4. Step 4: Simplify right side
    390x = 135,656.64
  5. Step 5: Solve for x
    x = 135,656.64/390
  6. Step 6: Final answer
    x = 347.84

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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.