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Finding the Fourth Proportional to 520.20, 779.00 and 470.89

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Solution

The fourth proportional to 520.20, 779.00 and 470.89 is: 705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 779.00 = 470.89 : x
  2. Step 2: Convert to fraction form
    520.20/779.00 = 470.89/x
  3. Step 3: Cross multiply
    520.20x = 779.00 × 470.89
  4. Step 4: Simplify right side
    520.20x = 366,819.01
  5. Step 5: Solve for x
    x = 366,819.01/520.20
  6. Step 6: Final answer
    x = 705.15

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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.