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Finding the Fourth Proportional to 576.49, 795.60 and 355.34

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Solution

The fourth proportional to 576.49, 795.60 and 355.34 is: 490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.49 : 795.60 = 355.34 : x
  2. Step 2: Convert to fraction form
    576.49/795.60 = 355.34/x
  3. Step 3: Cross multiply
    576.49x = 795.60 × 355.34
  4. Step 4: Simplify right side
    576.49x = 282,705.02
  5. Step 5: Solve for x
    x = 282,705.02/576.49
  6. Step 6: Final answer
    x = 490.39

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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.