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Finding the Fourth Proportional to 513.42, 708.56 and 292.44

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Solution

The fourth proportional to 513.42, 708.56 and 292.44 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 708.56 = 292.44 : x
  2. Step 2: Convert to fraction form
    513.42/708.56 = 292.44/x
  3. Step 3: Cross multiply
    513.42x = 708.56 × 292.44
  4. Step 4: Simplify right side
    513.42x = 207,215.22
  5. Step 5: Solve for x
    x = 207,215.22/513.42
  6. Step 6: Final answer
    x = 403.60

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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.