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Finding the Fourth Proportional to 513.60, 708.14 and 356.36

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Solution

The fourth proportional to 513.60, 708.14 and 356.36 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 708.14 = 356.36 : x
  2. Step 2: Convert to fraction form
    513.60/708.14 = 356.36/x
  3. Step 3: Cross multiply
    513.60x = 708.14 × 356.36
  4. Step 4: Simplify right side
    513.60x = 252,356.99
  5. Step 5: Solve for x
    x = 252,356.99/513.60
  6. Step 6: Final answer
    x = 491.35

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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.