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Finding the Fourth Proportional to 594.84, 821.05 and 346.27

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Solution

The fourth proportional to 594.84, 821.05 and 346.27 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 821.05 = 346.27 : x
  2. Step 2: Convert to fraction form
    594.84/821.05 = 346.27/x
  3. Step 3: Cross multiply
    594.84x = 821.05 × 346.27
  4. Step 4: Simplify right side
    594.84x = 284,304.98
  5. Step 5: Solve for x
    x = 284,304.98/594.84
  6. Step 6: Final answer
    x = 477.95

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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.