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Finding the Fourth Proportional to 392.16, 540.36 and 366.24

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Solution

The fourth proportional to 392.16, 540.36 and 366.24 is: 504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 540.36 = 366.24 : x
  2. Step 2: Convert to fraction form
    392.16/540.36 = 366.24/x
  3. Step 3: Cross multiply
    392.16x = 540.36 × 366.24
  4. Step 4: Simplify right side
    392.16x = 197,901.45
  5. Step 5: Solve for x
    x = 197,901.45/392.16
  6. Step 6: Final answer
    x = 504.64

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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.