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Finding the Fourth Proportional to 523.04, 784.05 and 249.05

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Solution

The fourth proportional to 523.04, 784.05 and 249.05 is: 373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 784.05 = 249.05 : x
  2. Step 2: Convert to fraction form
    523.04/784.05 = 249.05/x
  3. Step 3: Cross multiply
    523.04x = 784.05 × 249.05
  4. Step 4: Simplify right side
    523.04x = 195,268.68
  5. Step 5: Solve for x
    x = 195,268.68/523.04
  6. Step 6: Final answer
    x = 373.34

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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.