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Finding the Fourth Proportional to 594.67, 820.76 and 346.04

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Solution

The fourth proportional to 594.67, 820.76 and 346.04 is: 477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.67 : 820.76 = 346.04 : x
  2. Step 2: Convert to fraction form
    594.67/820.76 = 346.04/x
  3. Step 3: Cross multiply
    594.67x = 820.76 × 346.04
  4. Step 4: Simplify right side
    594.67x = 284,015.79
  5. Step 5: Solve for x
    x = 284,015.79/594.67
  6. Step 6: Final answer
    x = 477.60

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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.