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Finding the Fourth Proportional to 393, 589.77 and 176.60

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Solution

The fourth proportional to 393, 589.77 and 176.60 is: 265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393 : 589.77 = 176.60 : x
  2. Step 2: Convert to fraction form
    393/589.77 = 176.60/x
  3. Step 3: Cross multiply
    393x = 589.77 × 176.60
  4. Step 4: Simplify right side
    393x = 104,150.43
  5. Step 5: Solve for x
    x = 104,150.43/393
  6. Step 6: Final answer
    x = 265.01

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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.