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Finding the Fourth Proportional to 519.71, 777.54 and 332.06

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Solution

The fourth proportional to 519.71, 777.54 and 332.06 is: 496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 777.54 = 332.06 : x
  2. Step 2: Convert to fraction form
    519.71/777.54 = 332.06/x
  3. Step 3: Cross multiply
    519.71x = 777.54 × 332.06
  4. Step 4: Simplify right side
    519.71x = 258,189.93
  5. Step 5: Solve for x
    x = 258,189.93/519.71
  6. Step 6: Final answer
    x = 496.80

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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.