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Finding the Fourth Proportional to 513.59, 708.77 and 298.04

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Solution

The fourth proportional to 513.59, 708.77 and 298.04 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 708.77 = 298.04 : x
  2. Step 2: Convert to fraction form
    513.59/708.77 = 298.04/x
  3. Step 3: Cross multiply
    513.59x = 708.77 × 298.04
  4. Step 4: Simplify right side
    513.59x = 211,241.81
  5. Step 5: Solve for x
    x = 211,241.81/513.59
  6. Step 6: Final answer
    x = 411.30

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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.