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Finding the Fourth Proportional to 601.21, 900.13 and 308.08

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Solution

The fourth proportional to 601.21, 900.13 and 308.08 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 900.13 = 308.08 : x
  2. Step 2: Convert to fraction form
    601.21/900.13 = 308.08/x
  3. Step 3: Cross multiply
    601.21x = 900.13 × 308.08
  4. Step 4: Simplify right side
    601.21x = 277,312.05
  5. Step 5: Solve for x
    x = 277,312.05/601.21
  6. Step 6: Final answer
    x = 461.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.