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Finding the Fourth Proportional to 470.58, 704.98 and 394.03

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Solution

The fourth proportional to 470.58, 704.98 and 394.03 is: 590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 704.98 = 394.03 : x
  2. Step 2: Convert to fraction form
    470.58/704.98 = 394.03/x
  3. Step 3: Cross multiply
    470.58x = 704.98 × 394.03
  4. Step 4: Simplify right side
    470.58x = 277,783.27
  5. Step 5: Solve for x
    x = 277,783.27/470.58
  6. Step 6: Final answer
    x = 590.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.