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Finding the Fourth Proportional to 469, 703.14 and 252.28

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Solution

The fourth proportional to 469, 703.14 and 252.28 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 703.14 = 252.28 : x
  2. Step 2: Convert to fraction form
    469/703.14 = 252.28/x
  3. Step 3: Cross multiply
    469x = 703.14 × 252.28
  4. Step 4: Simplify right side
    469x = 177,388.16
  5. Step 5: Solve for x
    x = 177,388.16/469
  6. Step 6: Final answer
    x = 378.23

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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.