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Finding the Fourth Proportional to 576.19, 795.25 and 352.22

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Solution

The fourth proportional to 576.19, 795.25 and 352.22 is: 486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 795.25 = 352.22 : x
  2. Step 2: Convert to fraction form
    576.19/795.25 = 352.22/x
  3. Step 3: Cross multiply
    576.19x = 795.25 × 352.22
  4. Step 4: Simplify right side
    576.19x = 280,101.63
  5. Step 5: Solve for x
    x = 280,101.63/576.19
  6. Step 6: Final answer
    x = 486.13

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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.