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Finding the Fourth Proportional to 576, 795.18 and 355.07

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Solution

The fourth proportional to 576, 795.18 and 355.07 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 795.18 = 355.07 : x
  2. Step 2: Convert to fraction form
    576/795.18 = 355.07/x
  3. Step 3: Cross multiply
    576x = 795.18 × 355.07
  4. Step 4: Simplify right side
    576x = 282,344.56
  5. Step 5: Solve for x
    x = 282,344.56/576
  6. Step 6: Final answer
    x = 490.18

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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.