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Finding the Fourth Proportional to 519.80, 717.30 and 298.76

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Solution

The fourth proportional to 519.80, 717.30 and 298.76 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 717.30 = 298.76 : x
  2. Step 2: Convert to fraction form
    519.80/717.30 = 298.76/x
  3. Step 3: Cross multiply
    519.80x = 717.30 × 298.76
  4. Step 4: Simplify right side
    519.80x = 214,300.55
  5. Step 5: Solve for x
    x = 214,300.55/519.80
  6. Step 6: Final answer
    x = 412.28

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1.5x scale

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.