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Finding the Fourth Proportional to 523.72, 784.94 and 415.08

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Solution

The fourth proportional to 523.72, 784.94 and 415.08 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 784.94 = 415.08 : x
  2. Step 2: Convert to fraction form
    523.72/784.94 = 415.08/x
  3. Step 3: Cross multiply
    523.72x = 784.94 × 415.08
  4. Step 4: Simplify right side
    523.72x = 325,812.90
  5. Step 5: Solve for x
    x = 325,812.90/523.72
  6. Step 6: Final answer
    x = 622.11

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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.