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Finding the Fourth Proportional to 604.76, 906.50 and 433.24

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Solution

The fourth proportional to 604.76, 906.50 and 433.24 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 906.50 = 433.24 : x
  2. Step 2: Convert to fraction form
    604.76/906.50 = 433.24/x
  3. Step 3: Cross multiply
    604.76x = 906.50 × 433.24
  4. Step 4: Simplify right side
    604.76x = 392,732.06
  5. Step 5: Solve for x
    x = 392,732.06/604.76
  6. Step 6: Final answer
    x = 649.40

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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.