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Finding the Fourth Proportional to 525.70, 786.92 and 470.62

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Solution

The fourth proportional to 525.70, 786.92 and 470.62 is: 704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 786.92 = 470.62 : x
  2. Step 2: Convert to fraction form
    525.70/786.92 = 470.62/x
  3. Step 3: Cross multiply
    525.70x = 786.92 × 470.62
  4. Step 4: Simplify right side
    525.70x = 370,336.36
  5. Step 5: Solve for x
    x = 370,336.36/525.70
  6. Step 6: Final answer
    x = 704.47

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