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Finding the Fourth Proportional to 601.90, 902.54 and 309.35

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Solution

The fourth proportional to 601.90, 902.54 and 309.35 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 902.54 = 309.35 : x
  2. Step 2: Convert to fraction form
    601.90/902.54 = 309.35/x
  3. Step 3: Cross multiply
    601.90x = 902.54 × 309.35
  4. Step 4: Simplify right side
    601.90x = 279,203.78
  5. Step 5: Solve for x
    x = 279,203.78/601.90
  6. Step 6: Final answer
    x = 463.87

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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.