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Finding the Fourth Proportional to 513.90, 708.98 and 314.66

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Solution

The fourth proportional to 513.90, 708.98 and 314.66 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 708.98 = 314.66 : x
  2. Step 2: Convert to fraction form
    513.90/708.98 = 314.66/x
  3. Step 3: Cross multiply
    513.90x = 708.98 × 314.66
  4. Step 4: Simplify right side
    513.90x = 223,087.85
  5. Step 5: Solve for x
    x = 223,087.85/513.90
  6. Step 6: Final answer
    x = 434.11

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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.