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Finding the Fourth Proportional to 542.02, 811.81 and 523.80

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Solution

The fourth proportional to 542.02, 811.81 and 523.80 is: 784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.02 : 811.81 = 523.80 : x
  2. Step 2: Convert to fraction form
    542.02/811.81 = 523.80/x
  3. Step 3: Cross multiply
    542.02x = 811.81 × 523.80
  4. Step 4: Simplify right side
    542.02x = 425,226.08
  5. Step 5: Solve for x
    x = 425,226.08/542.02
  6. Step 6: Final answer
    x = 784.52

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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.