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Finding the Fourth Proportional to 601.26, 829.79 and 380.23

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Solution

The fourth proportional to 601.26, 829.79 and 380.23 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 829.79 = 380.23 : x
  2. Step 2: Convert to fraction form
    601.26/829.79 = 380.23/x
  3. Step 3: Cross multiply
    601.26x = 829.79 × 380.23
  4. Step 4: Simplify right side
    601.26x = 315,510.64
  5. Step 5: Solve for x
    x = 315,510.64/601.26
  6. Step 6: Final answer
    x = 524.75

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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.