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Finding the Fourth Proportional to 560.76, 773.92 and 386.34

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Solution

The fourth proportional to 560.76, 773.92 and 386.34 is: 533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 773.92 = 386.34 : x
  2. Step 2: Convert to fraction form
    560.76/773.92 = 386.34/x
  3. Step 3: Cross multiply
    560.76x = 773.92 × 386.34
  4. Step 4: Simplify right side
    560.76x = 298,996.25
  5. Step 5: Solve for x
    x = 298,996.25/560.76
  6. Step 6: Final answer
    x = 533.20

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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.