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Finding the Fourth Proportional to 513.83, 709.28 and 459.15

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Solution

The fourth proportional to 513.83, 709.28 and 459.15 is: 633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.83 : 709.28 = 459.15 : x
  2. Step 2: Convert to fraction form
    513.83/709.28 = 459.15/x
  3. Step 3: Cross multiply
    513.83x = 709.28 × 459.15
  4. Step 4: Simplify right side
    513.83x = 325,663.62
  5. Step 5: Solve for x
    x = 325,663.62/513.83
  6. Step 6: Final answer
    x = 633.80

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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.