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Finding the Fourth Proportional to 670.28, 1,005.59 and 259.31

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Solution

The fourth proportional to 670.28, 1,005.59 and 259.31 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.28 : 1,005.59 = 259.31 : x
  2. Step 2: Convert to fraction form
    670.28/1,005.59 = 259.31/x
  3. Step 3: Cross multiply
    670.28x = 1,005.59 × 259.31
  4. Step 4: Simplify right side
    670.28x = 260,759.54
  5. Step 5: Solve for x
    x = 260,759.54/670.28
  6. Step 6: Final answer
    x = 389.03

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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.