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Finding the Fourth Proportional to 670.27, 1,005.56 and 304.96

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Solution

The fourth proportional to 670.27, 1,005.56 and 304.96 is: 457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.27 : 1,005.56 = 304.96 : x
  2. Step 2: Convert to fraction form
    670.27/1,005.56 = 304.96/x
  3. Step 3: Cross multiply
    670.27x = 1,005.56 × 304.96
  4. Step 4: Simplify right side
    670.27x = 306,654.05
  5. Step 5: Solve for x
    x = 306,654.05/670.27
  6. Step 6: Final answer
    x = 457.51

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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.