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Finding the Fourth Proportional to 392.71, 589.26 and 176.24

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Solution

The fourth proportional to 392.71, 589.26 and 176.24 is: 264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.71 : 589.26 = 176.24 : x
  2. Step 2: Convert to fraction form
    392.71/589.26 = 176.24/x
  3. Step 3: Cross multiply
    392.71x = 589.26 × 176.24
  4. Step 4: Simplify right side
    392.71x = 103,851.18
  5. Step 5: Solve for x
    x = 103,851.18/392.71
  6. Step 6: Final answer
    x = 264.45

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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.