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Finding the Fourth Proportional to 575.70, 794.37 and 354.66

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Solution

The fourth proportional to 575.70, 794.37 and 354.66 is: 489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.70 : 794.37 = 354.66 : x
  2. Step 2: Convert to fraction form
    575.70/794.37 = 354.66/x
  3. Step 3: Cross multiply
    575.70x = 794.37 × 354.66
  4. Step 4: Simplify right side
    575.70x = 281,731.26
  5. Step 5: Solve for x
    x = 281,731.26/575.70
  6. Step 6: Final answer
    x = 489.37

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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.