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Finding the Fourth Proportional to 701.67, 1,051.64 and 311.25

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Solution

The fourth proportional to 701.67, 1,051.64 and 311.25 is: 466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.67 : 1,051.64 = 311.25 : x
  2. Step 2: Convert to fraction form
    701.67/1,051.64 = 311.25/x
  3. Step 3: Cross multiply
    701.67x = 1,051.64 × 311.25
  4. Step 4: Simplify right side
    701.67x = 327,322.95
  5. Step 5: Solve for x
    x = 327,322.95/701.67
  6. Step 6: Final answer
    x = 466.49

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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.