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Finding the Fourth Proportional to 548.08, 756.08 and 400.40

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Solution

The fourth proportional to 548.08, 756.08 and 400.40 is: 552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 756.08 = 400.40 : x
  2. Step 2: Convert to fraction form
    548.08/756.08 = 400.40/x
  3. Step 3: Cross multiply
    548.08x = 756.08 × 400.40
  4. Step 4: Simplify right side
    548.08x = 302,734.43
  5. Step 5: Solve for x
    x = 302,734.43/548.08
  6. Step 6: Final answer
    x = 552.35

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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.