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Finding the Fourth Proportional to 392.64, 589.04 and 310.24

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Solution

The fourth proportional to 392.64, 589.04 and 310.24 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 589.04 = 310.24 : x
  2. Step 2: Convert to fraction form
    392.64/589.04 = 310.24/x
  3. Step 3: Cross multiply
    392.64x = 589.04 × 310.24
  4. Step 4: Simplify right side
    392.64x = 182,743.77
  5. Step 5: Solve for x
    x = 182,743.77/392.64
  6. Step 6: Final answer
    x = 465.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.