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Finding the Fourth Proportional to 601.69, 830.17 and 365.44

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Solution

The fourth proportional to 601.69, 830.17 and 365.44 is: 504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.69 : 830.17 = 365.44 : x
  2. Step 2: Convert to fraction form
    601.69/830.17 = 365.44/x
  3. Step 3: Cross multiply
    601.69x = 830.17 × 365.44
  4. Step 4: Simplify right side
    601.69x = 303,375.50
  5. Step 5: Solve for x
    x = 303,375.50/601.69
  6. Step 6: Final answer
    x = 504.21

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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.