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Finding the Fourth Proportional to 513.91, 708.84 and 373.88

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Solution

The fourth proportional to 513.91, 708.84 and 373.88 is: 515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.91 : 708.84 = 373.88 : x
  2. Step 2: Convert to fraction form
    513.91/708.84 = 373.88/x
  3. Step 3: Cross multiply
    513.91x = 708.84 × 373.88
  4. Step 4: Simplify right side
    513.91x = 265,021.10
  5. Step 5: Solve for x
    x = 265,021.10/513.91
  6. Step 6: Final answer
    x = 515.70

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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.