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Finding the Fourth Proportional to 594.88, 821.10 and 342.84

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Solution

The fourth proportional to 594.88, 821.10 and 342.84 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 821.10 = 342.84 : x
  2. Step 2: Convert to fraction form
    594.88/821.10 = 342.84/x
  3. Step 3: Cross multiply
    594.88x = 821.10 × 342.84
  4. Step 4: Simplify right side
    594.88x = 281,505.92
  5. Step 5: Solve for x
    x = 281,505.92/594.88
  6. Step 6: Final answer
    x = 473.21

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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.