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Finding the Fourth Proportional to 397.79, 549.15 and 265.23

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Solution

The fourth proportional to 397.79, 549.15 and 265.23 is: 366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.79 : 549.15 = 265.23 : x
  2. Step 2: Convert to fraction form
    397.79/549.15 = 265.23/x
  3. Step 3: Cross multiply
    397.79x = 549.15 × 265.23
  4. Step 4: Simplify right side
    397.79x = 145,651.05
  5. Step 5: Solve for x
    x = 145,651.05/397.79
  6. Step 6: Final answer
    x = 366.15

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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.