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Finding the Fourth Proportional to 513.74, 707.74 and 431.33

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Solution

The fourth proportional to 513.74, 707.74 and 431.33 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 707.74 = 431.33 : x
  2. Step 2: Convert to fraction form
    513.74/707.74 = 431.33/x
  3. Step 3: Cross multiply
    513.74x = 707.74 × 431.33
  4. Step 4: Simplify right side
    513.74x = 305,264.88
  5. Step 5: Solve for x
    x = 305,264.88/513.74
  6. Step 6: Final answer
    x = 594.20

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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.