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Finding the Fourth Proportional to 570.45, 786.50 and 465.43

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Solution

The fourth proportional to 570.45, 786.50 and 465.43 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 786.50 = 465.43 : x
  2. Step 2: Convert to fraction form
    570.45/786.50 = 465.43/x
  3. Step 3: Cross multiply
    570.45x = 786.50 × 465.43
  4. Step 4: Simplify right side
    570.45x = 366,059.62
  5. Step 5: Solve for x
    x = 366,059.62/570.45
  6. Step 6: Final answer
    x = 641.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.