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Finding the Fourth Proportional to 548.52, 756.96 and 315.64

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Solution

The fourth proportional to 548.52, 756.96 and 315.64 is: 435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 756.96 = 315.64 : x
  2. Step 2: Convert to fraction form
    548.52/756.96 = 315.64/x
  3. Step 3: Cross multiply
    548.52x = 756.96 × 315.64
  4. Step 4: Simplify right side
    548.52x = 238,926.85
  5. Step 5: Solve for x
    x = 238,926.85/548.52
  6. Step 6: Final answer
    x = 435.58

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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.