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Finding the Fourth Proportional to 601.75, 903.19 and 309.46

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Solution

The fourth proportional to 601.75, 903.19 and 309.46 is: 464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.75 : 903.19 = 309.46 : x
  2. Step 2: Convert to fraction form
    601.75/903.19 = 309.46/x
  3. Step 3: Cross multiply
    601.75x = 903.19 × 309.46
  4. Step 4: Simplify right side
    601.75x = 279,501.18
  5. Step 5: Solve for x
    x = 279,501.18/601.75
  6. Step 6: Final answer
    x = 464.48

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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.