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Finding the Fourth Proportional to 594.63, 820.68 and 346.09

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Solution

The fourth proportional to 594.63, 820.68 and 346.09 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.63 : 820.68 = 346.09 : x
  2. Step 2: Convert to fraction form
    594.63/820.68 = 346.09/x
  3. Step 3: Cross multiply
    594.63x = 820.68 × 346.09
  4. Step 4: Simplify right side
    594.63x = 284,029.14
  5. Step 5: Solve for x
    x = 284,029.14/594.63
  6. Step 6: Final answer
    x = 477.66

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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.