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Finding the Fourth Proportional to 675.42, 928.98 and 576.96

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Solution

The fourth proportional to 675.42, 928.98 and 576.96 is: 793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 928.98 = 576.96 : x
  2. Step 2: Convert to fraction form
    675.42/928.98 = 576.96/x
  3. Step 3: Cross multiply
    675.42x = 928.98 × 576.96
  4. Step 4: Simplify right side
    675.42x = 535,984.30
  5. Step 5: Solve for x
    x = 535,984.30/675.42
  6. Step 6: Final answer
    x = 793.56

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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.