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Finding the Fourth Proportional to 703.36, 970.24 and 496

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Solution

The fourth proportional to 703.36, 970.24 and 496 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.36 : 970.24 = 496 : x
  2. Step 2: Convert to fraction form
    703.36/970.24 = 496/x
  3. Step 3: Cross multiply
    703.36x = 970.24 × 496
  4. Step 4: Simplify right side
    703.36x = 481,239.04
  5. Step 5: Solve for x
    x = 481,239.04/703.36
  6. Step 6: Final answer
    x = 684.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.