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Finding the Fourth Proportional to 594.89, 820.95 and 332.96

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Solution

The fourth proportional to 594.89, 820.95 and 332.96 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.89 : 820.95 = 332.96 : x
  2. Step 2: Convert to fraction form
    594.89/820.95 = 332.96/x
  3. Step 3: Cross multiply
    594.89x = 820.95 × 332.96
  4. Step 4: Simplify right side
    594.89x = 273,339.41
  5. Step 5: Solve for x
    x = 273,339.41/594.89
  6. Step 6: Final answer
    x = 459.48

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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.