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Finding the Fourth Proportional to 576.13, 795.06 and 340.09

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Solution

The fourth proportional to 576.13, 795.06 and 340.09 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.13 : 795.06 = 340.09 : x
  2. Step 2: Convert to fraction form
    576.13/795.06 = 340.09/x
  3. Step 3: Cross multiply
    576.13x = 795.06 × 340.09
  4. Step 4: Simplify right side
    576.13x = 270,391.96
  5. Step 5: Solve for x
    x = 270,391.96/576.13
  6. Step 6: Final answer
    x = 469.32

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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.