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Finding the Fourth Proportional to 867.46, 1,300.48 and 347.24

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Solution

The fourth proportional to 867.46, 1,300.48 and 347.24 is: 520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.46 : 1,300.48 = 347.24 : x
  2. Step 2: Convert to fraction form
    867.46/1,300.48 = 347.24/x
  3. Step 3: Cross multiply
    867.46x = 1,300.48 × 347.24
  4. Step 4: Simplify right side
    867.46x = 451,578.68
  5. Step 5: Solve for x
    x = 451,578.68/867.46
  6. Step 6: Final answer
    x = 520.58

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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.