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Finding the Fourth Proportional to 517.21, 713.61 and 359.67

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Solution

The fourth proportional to 517.21, 713.61 and 359.67 is: 496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.21 : 713.61 = 359.67 : x
  2. Step 2: Convert to fraction form
    517.21/713.61 = 359.67/x
  3. Step 3: Cross multiply
    517.21x = 713.61 × 359.67
  4. Step 4: Simplify right side
    517.21x = 256,661.43
  5. Step 5: Solve for x
    x = 256,661.43/517.21
  6. Step 6: Final answer
    x = 496.24

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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.