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Finding the Fourth Proportional to 513.91, 709.56 and 464.02

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Solution

The fourth proportional to 513.91, 709.56 and 464.02 is: 640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.91 : 709.56 = 464.02 : x
  2. Step 2: Convert to fraction form
    513.91/709.56 = 464.02/x
  3. Step 3: Cross multiply
    513.91x = 709.56 × 464.02
  4. Step 4: Simplify right side
    513.91x = 329,248.26
  5. Step 5: Solve for x
    x = 329,248.26/513.91
  6. Step 6: Final answer
    x = 640.67

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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.