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Finding the Fourth Proportional to 392.57, 589.11 and 176.14

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Solution

The fourth proportional to 392.57, 589.11 and 176.14 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 589.11 = 176.14 : x
  2. Step 2: Convert to fraction form
    392.57/589.11 = 176.14/x
  3. Step 3: Cross multiply
    392.57x = 589.11 × 176.14
  4. Step 4: Simplify right side
    392.57x = 103,762.01
  5. Step 5: Solve for x
    x = 103,762.01/392.57
  6. Step 6: Final answer
    x = 264.32

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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.