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Finding the Fourth Proportional to 513.30, 706.89 and 425.19

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Solution

The fourth proportional to 513.30, 706.89 and 425.19 is: 585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.30 : 706.89 = 425.19 : x
  2. Step 2: Convert to fraction form
    513.30/706.89 = 425.19/x
  3. Step 3: Cross multiply
    513.30x = 706.89 × 425.19
  4. Step 4: Simplify right side
    513.30x = 300,562.56
  5. Step 5: Solve for x
    x = 300,562.56/513.30
  6. Step 6: Final answer
    x = 585.55

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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.