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Finding the Fourth Proportional to 670.41, 1,005.63 and 280.48

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Solution

The fourth proportional to 670.41, 1,005.63 and 280.48 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.41 : 1,005.63 = 280.48 : x
  2. Step 2: Convert to fraction form
    670.41/1,005.63 = 280.48/x
  3. Step 3: Cross multiply
    670.41x = 1,005.63 × 280.48
  4. Step 4: Simplify right side
    670.41x = 282,059.10
  5. Step 5: Solve for x
    x = 282,059.10/670.41
  6. Step 6: Final answer
    x = 420.73

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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.