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Finding the Fourth Proportional to 513.20, 708 and 424.64

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Solution

The fourth proportional to 513.20, 708 and 424.64 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 708 = 424.64 : x
  2. Step 2: Convert to fraction form
    513.20/708 = 424.64/x
  3. Step 3: Cross multiply
    513.20x = 708 × 424.64
  4. Step 4: Simplify right side
    513.20x = 300,645.12
  5. Step 5: Solve for x
    x = 300,645.12/513.20
  6. Step 6: Final answer
    x = 585.82

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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.