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Finding the Fourth Proportional to 488.63, 731.43 and 367.13

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Solution

The fourth proportional to 488.63, 731.43 and 367.13 is: 549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 731.43 = 367.13 : x
  2. Step 2: Convert to fraction form
    488.63/731.43 = 367.13/x
  3. Step 3: Cross multiply
    488.63x = 731.43 × 367.13
  4. Step 4: Simplify right side
    488.63x = 268,531.72
  5. Step 5: Solve for x
    x = 268,531.72/488.63
  6. Step 6: Final answer
    x = 549.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.