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Finding the Fourth Proportional to 594.71, 820.62 and 346.09

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Solution

The fourth proportional to 594.71, 820.62 and 346.09 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.71 : 820.62 = 346.09 : x
  2. Step 2: Convert to fraction form
    594.71/820.62 = 346.09/x
  3. Step 3: Cross multiply
    594.71x = 820.62 × 346.09
  4. Step 4: Simplify right side
    594.71x = 284,008.38
  5. Step 5: Solve for x
    x = 284,008.38/594.71
  6. Step 6: Final answer
    x = 477.56

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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.