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Finding the Fourth Proportional to 601.89, 830.52 and 353.12

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Solution

The fourth proportional to 601.89, 830.52 and 353.12 is: 487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.89 : 830.52 = 353.12 : x
  2. Step 2: Convert to fraction form
    601.89/830.52 = 353.12/x
  3. Step 3: Cross multiply
    601.89x = 830.52 × 353.12
  4. Step 4: Simplify right side
    601.89x = 293,269.07
  5. Step 5: Solve for x
    x = 293,269.07/601.89
  6. Step 6: Final answer
    x = 487.25

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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.