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Finding the Fourth Proportional to 594.91, 820.95 and 346.21

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Solution

The fourth proportional to 594.91, 820.95 and 346.21 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.91 : 820.95 = 346.21 : x
  2. Step 2: Convert to fraction form
    594.91/820.95 = 346.21/x
  3. Step 3: Cross multiply
    594.91x = 820.95 × 346.21
  4. Step 4: Simplify right side
    594.91x = 284,221.10
  5. Step 5: Solve for x
    x = 284,221.10/594.91
  6. Step 6: Final answer
    x = 477.75

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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.