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Finding the Fourth Proportional to 513.51, 708.97 and 458.15

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Solution

The fourth proportional to 513.51, 708.97 and 458.15 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 708.97 = 458.15 : x
  2. Step 2: Convert to fraction form
    513.51/708.97 = 458.15/x
  3. Step 3: Cross multiply
    513.51x = 708.97 × 458.15
  4. Step 4: Simplify right side
    513.51x = 324,816.70
  5. Step 5: Solve for x
    x = 324,816.70/513.51
  6. Step 6: Final answer
    x = 632.54

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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.