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Finding the Fourth Proportional to 519.84, 779.75 and 488.16

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Solution

The fourth proportional to 519.84, 779.75 and 488.16 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 779.75 = 488.16 : x
  2. Step 2: Convert to fraction form
    519.84/779.75 = 488.16/x
  3. Step 3: Cross multiply
    519.84x = 779.75 × 488.16
  4. Step 4: Simplify right side
    519.84x = 380,642.76
  5. Step 5: Solve for x
    x = 380,642.76/519.84
  6. Step 6: Final answer
    x = 732.23

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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.