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Finding the Fourth Proportional to 704.90, 972.93 and 484.10

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Solution

The fourth proportional to 704.90, 972.93 and 484.10 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.90 : 972.93 = 484.10 : x
  2. Step 2: Convert to fraction form
    704.90/972.93 = 484.10/x
  3. Step 3: Cross multiply
    704.90x = 972.93 × 484.10
  4. Step 4: Simplify right side
    704.90x = 470,995.41
  5. Step 5: Solve for x
    x = 470,995.41/704.90
  6. Step 6: Final answer
    x = 668.17

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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.