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Finding the Fourth Proportional to 575.88, 795.12 and 355.20

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Solution

The fourth proportional to 575.88, 795.12 and 355.20 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 795.12 = 355.20 : x
  2. Step 2: Convert to fraction form
    575.88/795.12 = 355.20/x
  3. Step 3: Cross multiply
    575.88x = 795.12 × 355.20
  4. Step 4: Simplify right side
    575.88x = 282,426.62
  5. Step 5: Solve for x
    x = 282,426.62/575.88
  6. Step 6: Final answer
    x = 490.43

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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.