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Finding the Fourth Proportional to 552.30, 762.19 and 313.01

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Solution

The fourth proportional to 552.30, 762.19 and 313.01 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.30 : 762.19 = 313.01 : x
  2. Step 2: Convert to fraction form
    552.30/762.19 = 313.01/x
  3. Step 3: Cross multiply
    552.30x = 762.19 × 313.01
  4. Step 4: Simplify right side
    552.30x = 238,573.09
  5. Step 5: Solve for x
    x = 238,573.09/552.30
  6. Step 6: Final answer
    x = 431.96

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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.