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Finding the Fourth Proportional to 594.97, 821.08 and 332.99

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Solution

The fourth proportional to 594.97, 821.08 and 332.99 is: 459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 821.08 = 332.99 : x
  2. Step 2: Convert to fraction form
    594.97/821.08 = 332.99/x
  3. Step 3: Cross multiply
    594.97x = 821.08 × 332.99
  4. Step 4: Simplify right side
    594.97x = 273,405.66
  5. Step 5: Solve for x
    x = 273,405.66/594.97
  6. Step 6: Final answer
    x = 459.53

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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.