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Finding the Fourth Proportional to 601.43, 829.69 and 414.62

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Solution

The fourth proportional to 601.43, 829.69 and 414.62 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.43 : 829.69 = 414.62 : x
  2. Step 2: Convert to fraction form
    601.43/829.69 = 414.62/x
  3. Step 3: Cross multiply
    601.43x = 829.69 × 414.62
  4. Step 4: Simplify right side
    601.43x = 344,006.33
  5. Step 5: Solve for x
    x = 344,006.33/601.43
  6. Step 6: Final answer
    x = 571.99

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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.