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Finding the Fourth Proportional to 594.77, 820.90 and 346.13

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Solution

The fourth proportional to 594.77, 820.90 and 346.13 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 820.90 = 346.13 : x
  2. Step 2: Convert to fraction form
    594.77/820.90 = 346.13/x
  3. Step 3: Cross multiply
    594.77x = 820.90 × 346.13
  4. Step 4: Simplify right side
    594.77x = 284,138.12
  5. Step 5: Solve for x
    x = 284,138.12/594.77
  6. Step 6: Final answer
    x = 477.73

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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.