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Finding the Fourth Proportional to 647.28, 971.07 and 466.04

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Solution

The fourth proportional to 647.28, 971.07 and 466.04 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.28 : 971.07 = 466.04 : x
  2. Step 2: Convert to fraction form
    647.28/971.07 = 466.04/x
  3. Step 3: Cross multiply
    647.28x = 971.07 × 466.04
  4. Step 4: Simplify right side
    647.28x = 452,557.46
  5. Step 5: Solve for x
    x = 452,557.46/647.28
  6. Step 6: Final answer
    x = 699.17

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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.