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Finding the Fourth Proportional to 604.64, 906.72 and 262.56

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Solution

The fourth proportional to 604.64, 906.72 and 262.56 is: 393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 906.72 = 262.56 : x
  2. Step 2: Convert to fraction form
    604.64/906.72 = 262.56/x
  3. Step 3: Cross multiply
    604.64x = 906.72 × 262.56
  4. Step 4: Simplify right side
    604.64x = 238,068.40
  5. Step 5: Solve for x
    x = 238,068.40/604.64
  6. Step 6: Final answer
    x = 393.74

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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.