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Finding the Fourth Proportional to 560.54, 773.47 and 311.85

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Solution

The fourth proportional to 560.54, 773.47 and 311.85 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 773.47 = 311.85 : x
  2. Step 2: Convert to fraction form
    560.54/773.47 = 311.85/x
  3. Step 3: Cross multiply
    560.54x = 773.47 × 311.85
  4. Step 4: Simplify right side
    560.54x = 241,205.26
  5. Step 5: Solve for x
    x = 241,205.26/560.54
  6. Step 6: Final answer
    x = 430.31

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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.