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Finding the Fourth Proportional to 594.74, 820.74 and 346.22

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Solution

The fourth proportional to 594.74, 820.74 and 346.22 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.74 : 820.74 = 346.22 : x
  2. Step 2: Convert to fraction form
    594.74/820.74 = 346.22/x
  3. Step 3: Cross multiply
    594.74x = 820.74 × 346.22
  4. Step 4: Simplify right side
    594.74x = 284,156.60
  5. Step 5: Solve for x
    x = 284,156.60/594.74
  6. Step 6: Final answer
    x = 477.78

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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.