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Finding the Fourth Proportional to 575.39, 794.02 and 339.35

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Solution

The fourth proportional to 575.39, 794.02 and 339.35 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 794.02 = 339.35 : x
  2. Step 2: Convert to fraction form
    575.39/794.02 = 339.35/x
  3. Step 3: Cross multiply
    575.39x = 794.02 × 339.35
  4. Step 4: Simplify right side
    575.39x = 269,449.84
  5. Step 5: Solve for x
    x = 269,449.84/575.39
  6. Step 6: Final answer
    x = 468.29

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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.