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Finding the Fourth Proportional to 523.40, 783.36 and 484.92

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Solution

The fourth proportional to 523.40, 783.36 and 484.92 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 783.36 = 484.92 : x
  2. Step 2: Convert to fraction form
    523.40/783.36 = 484.92/x
  3. Step 3: Cross multiply
    523.40x = 783.36 × 484.92
  4. Step 4: Simplify right side
    523.40x = 379,866.93
  5. Step 5: Solve for x
    x = 379,866.93/523.40
  6. Step 6: Final answer
    x = 725.77

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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.