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Finding the Fourth Proportional to 594.88, 821.01 and 346.21

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Solution

The fourth proportional to 594.88, 821.01 and 346.21 is: 477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 821.01 = 346.21 : x
  2. Step 2: Convert to fraction form
    594.88/821.01 = 346.21/x
  3. Step 3: Cross multiply
    594.88x = 821.01 × 346.21
  4. Step 4: Simplify right side
    594.88x = 284,241.87
  5. Step 5: Solve for x
    x = 284,241.87/594.88
  6. Step 6: Final answer
    x = 477.81

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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.