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Finding the Fourth Proportional to 647.56, 970.04 and 300.44

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Solution

The fourth proportional to 647.56, 970.04 and 300.44 is: 450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 970.04 = 300.44 : x
  2. Step 2: Convert to fraction form
    647.56/970.04 = 300.44/x
  3. Step 3: Cross multiply
    647.56x = 970.04 × 300.44
  4. Step 4: Simplify right side
    647.56x = 291,441.99
  5. Step 5: Solve for x
    x = 291,441.99/647.56
  6. Step 6: Final answer
    x = 450.06

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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.