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Finding the Fourth Proportional to 594.90, 821.02 and 332.96

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Solution

The fourth proportional to 594.90, 821.02 and 332.96 is: 459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.90 : 821.02 = 332.96 : x
  2. Step 2: Convert to fraction form
    594.90/821.02 = 332.96/x
  3. Step 3: Cross multiply
    594.90x = 821.02 × 332.96
  4. Step 4: Simplify right side
    594.90x = 273,366.82
  5. Step 5: Solve for x
    x = 273,366.82/594.90
  6. Step 6: Final answer
    x = 459.52

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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.