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Finding the Fourth Proportional to 513.61, 709.02 and 356.78

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Solution

The fourth proportional to 513.61, 709.02 and 356.78 is: 492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.61 : 709.02 = 356.78 : x
  2. Step 2: Convert to fraction form
    513.61/709.02 = 356.78/x
  3. Step 3: Cross multiply
    513.61x = 709.02 × 356.78
  4. Step 4: Simplify right side
    513.61x = 252,959.27
  5. Step 5: Solve for x
    x = 252,959.27/513.61
  6. Step 6: Final answer
    x = 492.51

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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.