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Finding the Fourth Proportional to 604.60, 908.28 and 522.64

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Solution

The fourth proportional to 604.60, 908.28 and 522.64 is: 785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 908.28 = 522.64 : x
  2. Step 2: Convert to fraction form
    604.60/908.28 = 522.64/x
  3. Step 3: Cross multiply
    604.60x = 908.28 × 522.64
  4. Step 4: Simplify right side
    604.60x = 474,703.46
  5. Step 5: Solve for x
    x = 474,703.46/604.60
  6. Step 6: Final answer
    x = 785.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.