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Finding the Fourth Proportional to 519.81, 717.30 and 298.77

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Solution

The fourth proportional to 519.81, 717.30 and 298.77 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 717.30 = 298.77 : x
  2. Step 2: Convert to fraction form
    519.81/717.30 = 298.77/x
  3. Step 3: Cross multiply
    519.81x = 717.30 × 298.77
  4. Step 4: Simplify right side
    519.81x = 214,307.72
  5. Step 5: Solve for x
    x = 214,307.72/519.81
  6. Step 6: Final answer
    x = 412.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.