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Finding the Fourth Proportional to 513.28, 708 and 430.88

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Solution

The fourth proportional to 513.28, 708 and 430.88 is: 594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 708 = 430.88 : x
  2. Step 2: Convert to fraction form
    513.28/708 = 430.88/x
  3. Step 3: Cross multiply
    513.28x = 708 × 430.88
  4. Step 4: Simplify right side
    513.28x = 305,063.04
  5. Step 5: Solve for x
    x = 305,063.04/513.28
  6. Step 6: Final answer
    x = 594.34

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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.