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Finding the Fourth Proportional to 560.75, 771.23 and 450.05

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Solution

The fourth proportional to 560.75, 771.23 and 450.05 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.75 : 771.23 = 450.05 : x
  2. Step 2: Convert to fraction form
    560.75/771.23 = 450.05/x
  3. Step 3: Cross multiply
    560.75x = 771.23 × 450.05
  4. Step 4: Simplify right side
    560.75x = 347,089.81
  5. Step 5: Solve for x
    x = 347,089.81/560.75
  6. Step 6: Final answer
    x = 618.97

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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.