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Finding the Fourth Proportional to 513.92, 709.07 and 304.10

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Solution

The fourth proportional to 513.92, 709.07 and 304.10 is: 419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 709.07 = 304.10 : x
  2. Step 2: Convert to fraction form
    513.92/709.07 = 304.10/x
  3. Step 3: Cross multiply
    513.92x = 709.07 × 304.10
  4. Step 4: Simplify right side
    513.92x = 215,624.64
  5. Step 5: Solve for x
    x = 215,624.64/513.92
  6. Step 6: Final answer
    x = 419.57

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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.