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Finding the Fourth Proportional to 519.04, 776.97 and 336.07

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Solution

The fourth proportional to 519.04, 776.97 and 336.07 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 776.97 = 336.07 : x
  2. Step 2: Convert to fraction form
    519.04/776.97 = 336.07/x
  3. Step 3: Cross multiply
    519.04x = 776.97 × 336.07
  4. Step 4: Simplify right side
    519.04x = 261,116.31
  5. Step 5: Solve for x
    x = 261,116.31/519.04
  6. Step 6: Final answer
    x = 503.08

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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.