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Finding the Fourth Proportional to 383.07, 529.01 and 320.27

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Solution

The fourth proportional to 383.07, 529.01 and 320.27 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.07 : 529.01 = 320.27 : x
  2. Step 2: Convert to fraction form
    383.07/529.01 = 320.27/x
  3. Step 3: Cross multiply
    383.07x = 529.01 × 320.27
  4. Step 4: Simplify right side
    383.07x = 169,426.03
  5. Step 5: Solve for x
    x = 169,426.03/383.07
  6. Step 6: Final answer
    x = 442.28

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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.