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Finding the Fourth Proportional to 523.14, 784.14 and 176.15

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Solution

The fourth proportional to 523.14, 784.14 and 176.15 is: 264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 784.14 = 176.15 : x
  2. Step 2: Convert to fraction form
    523.14/784.14 = 176.15/x
  3. Step 3: Cross multiply
    523.14x = 784.14 × 176.15
  4. Step 4: Simplify right side
    523.14x = 138,126.26
  5. Step 5: Solve for x
    x = 138,126.26/523.14
  6. Step 6: Final answer
    x = 264.03

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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.