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Finding the Fourth Proportional to 513.60, 708.48 and 365.76

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Solution

The fourth proportional to 513.60, 708.48 and 365.76 is: 504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 708.48 = 365.76 : x
  2. Step 2: Convert to fraction form
    513.60/708.48 = 365.76/x
  3. Step 3: Cross multiply
    513.60x = 708.48 × 365.76
  4. Step 4: Simplify right side
    513.60x = 259,133.64
  5. Step 5: Solve for x
    x = 259,133.64/513.60
  6. Step 6: Final answer
    x = 504.54

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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.