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Finding the Fourth Proportional to 513.51, 708.62 and 314.30

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Solution

The fourth proportional to 513.51, 708.62 and 314.30 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 708.62 = 314.30 : x
  2. Step 2: Convert to fraction form
    513.51/708.62 = 314.30/x
  3. Step 3: Cross multiply
    513.51x = 708.62 × 314.30
  4. Step 4: Simplify right side
    513.51x = 222,719.27
  5. Step 5: Solve for x
    x = 222,719.27/513.51
  6. Step 6: Final answer
    x = 433.72

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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.