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Finding the Fourth Proportional to 647.82, 970.17 and 403.62

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Solution

The fourth proportional to 647.82, 970.17 and 403.62 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.82 : 970.17 = 403.62 : x
  2. Step 2: Convert to fraction form
    647.82/970.17 = 403.62/x
  3. Step 3: Cross multiply
    647.82x = 970.17 × 403.62
  4. Step 4: Simplify right side
    647.82x = 391,580.02
  5. Step 5: Solve for x
    x = 391,580.02/647.82
  6. Step 6: Final answer
    x = 604.46

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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.