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Finding the Fourth Proportional to 557.59, 769.72 and 333.60

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Solution

The fourth proportional to 557.59, 769.72 and 333.60 is: 460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.59 : 769.72 = 333.60 : x
  2. Step 2: Convert to fraction form
    557.59/769.72 = 333.60/x
  3. Step 3: Cross multiply
    557.59x = 769.72 × 333.60
  4. Step 4: Simplify right side
    557.59x = 256,777.76
  5. Step 5: Solve for x
    x = 256,777.76/557.59
  6. Step 6: Final answer
    x = 460.52

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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.