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Finding the Fourth Proportional to 513.48, 708.57 and 339.06

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Solution

The fourth proportional to 513.48, 708.57 and 339.06 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 708.57 = 339.06 : x
  2. Step 2: Convert to fraction form
    513.48/708.57 = 339.06/x
  3. Step 3: Cross multiply
    513.48x = 708.57 × 339.06
  4. Step 4: Simplify right side
    513.48x = 240,247.74
  5. Step 5: Solve for x
    x = 240,247.74/513.48
  6. Step 6: Final answer
    x = 467.88

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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.