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Finding the Fourth Proportional to 513.42, 708.70 and 356.84

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Solution

The fourth proportional to 513.42, 708.70 and 356.84 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 708.70 = 356.84 : x
  2. Step 2: Convert to fraction form
    513.42/708.70 = 356.84/x
  3. Step 3: Cross multiply
    513.42x = 708.70 × 356.84
  4. Step 4: Simplify right side
    513.42x = 252,892.51
  5. Step 5: Solve for x
    x = 252,892.51/513.42
  6. Step 6: Final answer
    x = 492.56

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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.