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Finding the Fourth Proportional to 523.36, 784.14 and 360.46

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Solution

The fourth proportional to 523.36, 784.14 and 360.46 is: 540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 784.14 = 360.46 : x
  2. Step 2: Convert to fraction form
    523.36/784.14 = 360.46/x
  3. Step 3: Cross multiply
    523.36x = 784.14 × 360.46
  4. Step 4: Simplify right side
    523.36x = 282,651.10
  5. Step 5: Solve for x
    x = 282,651.10/523.36
  6. Step 6: Final answer
    x = 540.07

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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.