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Finding the Fourth Proportional to 442.71, 611.69 and 387.36

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Solution

The fourth proportional to 442.71, 611.69 and 387.36 is: 535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 611.69 = 387.36 : x
  2. Step 2: Convert to fraction form
    442.71/611.69 = 387.36/x
  3. Step 3: Cross multiply
    442.71x = 611.69 × 387.36
  4. Step 4: Simplify right side
    442.71x = 236,944.24
  5. Step 5: Solve for x
    x = 236,944.24/442.71
  6. Step 6: Final answer
    x = 535.21

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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.