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Finding the Fourth Proportional to 704.84, 972.16 and 483.80

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Solution

The fourth proportional to 704.84, 972.16 and 483.80 is: 667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.84 : 972.16 = 483.80 : x
  2. Step 2: Convert to fraction form
    704.84/972.16 = 483.80/x
  3. Step 3: Cross multiply
    704.84x = 972.16 × 483.80
  4. Step 4: Simplify right side
    704.84x = 470,331.01
  5. Step 5: Solve for x
    x = 470,331.01/704.84
  6. Step 6: Final answer
    x = 667.29

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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.