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Finding the Fourth Proportional to 390.82, 538.42 and 324

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Solution

The fourth proportional to 390.82, 538.42 and 324 is: 446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.82 : 538.42 = 324 : x
  2. Step 2: Convert to fraction form
    390.82/538.42 = 324/x
  3. Step 3: Cross multiply
    390.82x = 538.42 × 324
  4. Step 4: Simplify right side
    390.82x = 174,448.08
  5. Step 5: Solve for x
    x = 174,448.08/390.82
  6. Step 6: Final answer
    x = 446.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.