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Finding the Fourth Proportional to 601, 900.86 and 312.04

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Solution

The fourth proportional to 601, 900.86 and 312.04 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 900.86 = 312.04 : x
  2. Step 2: Convert to fraction form
    601/900.86 = 312.04/x
  3. Step 3: Cross multiply
    601x = 900.86 × 312.04
  4. Step 4: Simplify right side
    601x = 281,104.35
  5. Step 5: Solve for x
    x = 281,104.35/601
  6. Step 6: Final answer
    x = 467.73

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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.