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Finding the Fourth Proportional to 470.05, 704.82 and 392.59

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Solution

The fourth proportional to 470.05, 704.82 and 392.59 is: 588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.05 : 704.82 = 392.59 : x
  2. Step 2: Convert to fraction form
    470.05/704.82 = 392.59/x
  3. Step 3: Cross multiply
    470.05x = 704.82 × 392.59
  4. Step 4: Simplify right side
    470.05x = 276,705.28
  5. Step 5: Solve for x
    x = 276,705.28/470.05
  6. Step 6: Final answer
    x = 588.67

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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.