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Finding the Fourth Proportional to 595.35, 821.61 and 333.38

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Solution

The fourth proportional to 595.35, 821.61 and 333.38 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.35 : 821.61 = 333.38 : x
  2. Step 2: Convert to fraction form
    595.35/821.61 = 333.38/x
  3. Step 3: Cross multiply
    595.35x = 821.61 × 333.38
  4. Step 4: Simplify right side
    595.35x = 273,910.40
  5. Step 5: Solve for x
    x = 273,910.40/595.35
  6. Step 6: Final answer
    x = 460.08

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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.