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Finding the Fourth Proportional to 540.49, 745.64 and 400.93

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Solution

The fourth proportional to 540.49, 745.64 and 400.93 is: 553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 745.64 = 400.93 : x
  2. Step 2: Convert to fraction form
    540.49/745.64 = 400.93/x
  3. Step 3: Cross multiply
    540.49x = 745.64 × 400.93
  4. Step 4: Simplify right side
    540.49x = 298,949.45
  5. Step 5: Solve for x
    x = 298,949.45/540.49
  6. Step 6: Final answer
    x = 553.11

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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.