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Finding the Fourth Proportional to 575.30, 793.94 and 339.41

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Solution

The fourth proportional to 575.30, 793.94 and 339.41 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.30 : 793.94 = 339.41 : x
  2. Step 2: Convert to fraction form
    575.30/793.94 = 339.41/x
  3. Step 3: Cross multiply
    575.30x = 793.94 × 339.41
  4. Step 4: Simplify right side
    575.30x = 269,471.46
  5. Step 5: Solve for x
    x = 269,471.46/575.30
  6. Step 6: Final answer
    x = 468.40

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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.