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Finding the Fourth Proportional to 703.75, 970.08 and 482.35

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Solution

The fourth proportional to 703.75, 970.08 and 482.35 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.75 : 970.08 = 482.35 : x
  2. Step 2: Convert to fraction form
    703.75/970.08 = 482.35/x
  3. Step 3: Cross multiply
    703.75x = 970.08 × 482.35
  4. Step 4: Simplify right side
    703.75x = 467,918.09
  5. Step 5: Solve for x
    x = 467,918.09/703.75
  6. Step 6: Final answer
    x = 664.89

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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.