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Finding the Fourth Proportional to 709.12, 1,063.68 and 270.40

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Solution

The fourth proportional to 709.12, 1,063.68 and 270.40 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,063.68 = 270.40 : x
  2. Step 2: Convert to fraction form
    709.12/1,063.68 = 270.40/x
  3. Step 3: Cross multiply
    709.12x = 1,063.68 × 270.40
  4. Step 4: Simplify right side
    709.12x = 287,619.07
  5. Step 5: Solve for x
    x = 287,619.07/709.12
  6. Step 6: Final answer
    x = 405.60

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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.