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Finding the Fourth Proportional to 513.46, 708.36 and 292.36

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Solution

The fourth proportional to 513.46, 708.36 and 292.36 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 708.36 = 292.36 : x
  2. Step 2: Convert to fraction form
    513.46/708.36 = 292.36/x
  3. Step 3: Cross multiply
    513.46x = 708.36 × 292.36
  4. Step 4: Simplify right side
    513.46x = 207,096.24
  5. Step 5: Solve for x
    x = 207,096.24/513.46
  6. Step 6: Final answer
    x = 403.34

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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.