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Finding the Fourth Proportional to 601.29, 829.71 and 339.24

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Solution

The fourth proportional to 601.29, 829.71 and 339.24 is: 468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 829.71 = 339.24 : x
  2. Step 2: Convert to fraction form
    601.29/829.71 = 339.24/x
  3. Step 3: Cross multiply
    601.29x = 829.71 × 339.24
  4. Step 4: Simplify right side
    601.29x = 281,470.82
  5. Step 5: Solve for x
    x = 281,470.82/601.29
  6. Step 6: Final answer
    x = 468.11

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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.