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Finding the Fourth Proportional to 393.10, 589.86 and 176.68

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Solution

The fourth proportional to 393.10, 589.86 and 176.68 is: 265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.10 : 589.86 = 176.68 : x
  2. Step 2: Convert to fraction form
    393.10/589.86 = 176.68/x
  3. Step 3: Cross multiply
    393.10x = 589.86 × 176.68
  4. Step 4: Simplify right side
    393.10x = 104,216.46
  5. Step 5: Solve for x
    x = 104,216.46/393.10
  6. Step 6: Final answer
    x = 265.11

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