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Finding the Fourth Proportional to 595.63, 821.97 and 333.65

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Solution

The fourth proportional to 595.63, 821.97 and 333.65 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 821.97 = 333.65 : x
  2. Step 2: Convert to fraction form
    595.63/821.97 = 333.65/x
  3. Step 3: Cross multiply
    595.63x = 821.97 × 333.65
  4. Step 4: Simplify right side
    595.63x = 274,244.51
  5. Step 5: Solve for x
    x = 274,244.51/595.63
  6. Step 6: Final answer
    x = 460.43

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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.