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Finding the Fourth Proportional to 595.38, 821.64 and 333.39

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Solution

The fourth proportional to 595.38, 821.64 and 333.39 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.38 : 821.64 = 333.39 : x
  2. Step 2: Convert to fraction form
    595.38/821.64 = 333.39/x
  3. Step 3: Cross multiply
    595.38x = 821.64 × 333.39
  4. Step 4: Simplify right side
    595.38x = 273,930.89
  5. Step 5: Solve for x
    x = 273,930.89/595.38
  6. Step 6: Final answer
    x = 460.09

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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.