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Finding the Fourth Proportional to 649.22, 974.73 and 429.20

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Solution

The fourth proportional to 649.22, 974.73 and 429.20 is: 644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 974.73 = 429.20 : x
  2. Step 2: Convert to fraction form
    649.22/974.73 = 429.20/x
  3. Step 3: Cross multiply
    649.22x = 974.73 × 429.20
  4. Step 4: Simplify right side
    649.22x = 418,354.51
  5. Step 5: Solve for x
    x = 418,354.51/649.22
  6. Step 6: Final answer
    x = 644.40

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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.