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Finding the Fourth Proportional to 557.34, 768.88 and 333.15

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Solution

The fourth proportional to 557.34, 768.88 and 333.15 is: 459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.34 : 768.88 = 333.15 : x
  2. Step 2: Convert to fraction form
    557.34/768.88 = 333.15/x
  3. Step 3: Cross multiply
    557.34x = 768.88 × 333.15
  4. Step 4: Simplify right side
    557.34x = 256,148.53
  5. Step 5: Solve for x
    x = 256,148.53/557.34
  6. Step 6: Final answer
    x = 459.60

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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.