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Finding the Fourth Proportional to 601.28, 829.82 and 339.34

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Solution

The fourth proportional to 601.28, 829.82 and 339.34 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.28 : 829.82 = 339.34 : x
  2. Step 2: Convert to fraction form
    601.28/829.82 = 339.34/x
  3. Step 3: Cross multiply
    601.28x = 829.82 × 339.34
  4. Step 4: Simplify right side
    601.28x = 281,591.12
  5. Step 5: Solve for x
    x = 281,591.12/601.28
  6. Step 6: Final answer
    x = 468.32

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1.5x scale

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.