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Finding the Fourth Proportional to 595.39, 821.62 and 333.41

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Solution

The fourth proportional to 595.39, 821.62 and 333.41 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.39 : 821.62 = 333.41 : x
  2. Step 2: Convert to fraction form
    595.39/821.62 = 333.41/x
  3. Step 3: Cross multiply
    595.39x = 821.62 × 333.41
  4. Step 4: Simplify right side
    595.39x = 273,936.32
  5. Step 5: Solve for x
    x = 273,936.32/595.39
  6. Step 6: Final answer
    x = 460.10

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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.