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Finding the Fourth Proportional to 513.02, 707.24 and 365.60

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Solution

The fourth proportional to 513.02, 707.24 and 365.60 is: 504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 707.24 = 365.60 : x
  2. Step 2: Convert to fraction form
    513.02/707.24 = 365.60/x
  3. Step 3: Cross multiply
    513.02x = 707.24 × 365.60
  4. Step 4: Simplify right side
    513.02x = 258,566.94
  5. Step 5: Solve for x
    x = 258,566.94/513.02
  6. Step 6: Final answer
    x = 504.01

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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.