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Finding the Fourth Proportional to 601.82, 830.18 and 353.09

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Solution

The fourth proportional to 601.82, 830.18 and 353.09 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 830.18 = 353.09 : x
  2. Step 2: Convert to fraction form
    601.82/830.18 = 353.09/x
  3. Step 3: Cross multiply
    601.82x = 830.18 × 353.09
  4. Step 4: Simplify right side
    601.82x = 293,128.26
  5. Step 5: Solve for x
    x = 293,128.26/601.82
  6. Step 6: Final answer
    x = 487.07

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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.