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Finding the Fourth Proportional to 540.64, 745.92 and 366.16

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Solution

The fourth proportional to 540.64, 745.92 and 366.16 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 745.92 = 366.16 : x
  2. Step 2: Convert to fraction form
    540.64/745.92 = 366.16/x
  3. Step 3: Cross multiply
    540.64x = 745.92 × 366.16
  4. Step 4: Simplify right side
    540.64x = 273,126.07
  5. Step 5: Solve for x
    x = 273,126.07/540.64
  6. Step 6: Final answer
    x = 505.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.