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Finding the Fourth Proportional to 390.28, 538.79 and 320.52

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Solution

The fourth proportional to 390.28, 538.79 and 320.52 is: 442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.28 : 538.79 = 320.52 : x
  2. Step 2: Convert to fraction form
    390.28/538.79 = 320.52/x
  3. Step 3: Cross multiply
    390.28x = 538.79 × 320.52
  4. Step 4: Simplify right side
    390.28x = 172,692.97
  5. Step 5: Solve for x
    x = 172,692.97/390.28
  6. Step 6: Final answer
    x = 442.48

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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.