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Finding the Fourth Proportional to 513.53, 708.57 and 292.43

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Solution

The fourth proportional to 513.53, 708.57 and 292.43 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 708.57 = 292.43 : x
  2. Step 2: Convert to fraction form
    513.53/708.57 = 292.43/x
  3. Step 3: Cross multiply
    513.53x = 708.57 × 292.43
  4. Step 4: Simplify right side
    513.53x = 207,203.58
  5. Step 5: Solve for x
    x = 207,203.58/513.53
  6. Step 6: Final answer
    x = 403.49

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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.