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Finding the Fourth Proportional to 723.32, 1,084.72 and 236.24

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Solution

The fourth proportional to 723.32, 1,084.72 and 236.24 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,084.72 = 236.24 : x
  2. Step 2: Convert to fraction form
    723.32/1,084.72 = 236.24/x
  3. Step 3: Cross multiply
    723.32x = 1,084.72 × 236.24
  4. Step 4: Simplify right side
    723.32x = 256,254.25
  5. Step 5: Solve for x
    x = 256,254.25/723.32
  6. Step 6: Final answer
    x = 354.28

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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.