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Finding the Fourth Proportional to 594.50, 820.82 and 470.78

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Solution

The fourth proportional to 594.50, 820.82 and 470.78 is: 650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 820.82 = 470.78 : x
  2. Step 2: Convert to fraction form
    594.50/820.82 = 470.78/x
  3. Step 3: Cross multiply
    594.50x = 820.82 × 470.78
  4. Step 4: Simplify right side
    594.50x = 386,425.64
  5. Step 5: Solve for x
    x = 386,425.64/594.50
  6. Step 6: Final answer
    x = 650.00

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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.