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Finding the Fourth Proportional to 488.42, 673.98 and 377.72

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Solution

The fourth proportional to 488.42, 673.98 and 377.72 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.42 : 673.98 = 377.72 : x
  2. Step 2: Convert to fraction form
    488.42/673.98 = 377.72/x
  3. Step 3: Cross multiply
    488.42x = 673.98 × 377.72
  4. Step 4: Simplify right side
    488.42x = 254,575.73
  5. Step 5: Solve for x
    x = 254,575.73/488.42
  6. Step 6: Final answer
    x = 521.22

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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.