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Finding the Fourth Proportional to 595.75, 822.14 and 333.79

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Solution

The fourth proportional to 595.75, 822.14 and 333.79 is: 460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.75 : 822.14 = 333.79 : x
  2. Step 2: Convert to fraction form
    595.75/822.14 = 333.79/x
  3. Step 3: Cross multiply
    595.75x = 822.14 × 333.79
  4. Step 4: Simplify right side
    595.75x = 274,422.11
  5. Step 5: Solve for x
    x = 274,422.11/595.75
  6. Step 6: Final answer
    x = 460.63

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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.