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Finding the Fourth Proportional to 392.99, 541.64 and 355.86

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Solution

The fourth proportional to 392.99, 541.64 and 355.86 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.99 : 541.64 = 355.86 : x
  2. Step 2: Convert to fraction form
    392.99/541.64 = 355.86/x
  3. Step 3: Cross multiply
    392.99x = 541.64 × 355.86
  4. Step 4: Simplify right side
    392.99x = 192,746.23
  5. Step 5: Solve for x
    x = 192,746.23/392.99
  6. Step 6: Final answer
    x = 490.47

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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.