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Finding the Fourth Proportional to 601.71, 830.39 and 353.00

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Solution

The fourth proportional to 601.71, 830.39 and 353.00 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.71 : 830.39 = 353.00 : x
  2. Step 2: Convert to fraction form
    601.71/830.39 = 353.00/x
  3. Step 3: Cross multiply
    601.71x = 830.39 × 353.00
  4. Step 4: Simplify right side
    601.71x = 293,121.75
  5. Step 5: Solve for x
    x = 293,121.75/601.71
  6. Step 6: Final answer
    x = 487.15

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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.