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Finding the Fourth Proportional to 575.97, 794.79 and 354.84

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Solution

The fourth proportional to 575.97, 794.79 and 354.84 is: 489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.97 : 794.79 = 354.84 : x
  2. Step 2: Convert to fraction form
    575.97/794.79 = 354.84/x
  3. Step 3: Cross multiply
    575.97x = 794.79 × 354.84
  4. Step 4: Simplify right side
    575.97x = 282,023.28
  5. Step 5: Solve for x
    x = 282,023.28/575.97
  6. Step 6: Final answer
    x = 489.65

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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.