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Finding the Fourth Proportional to 604.30, 906.24 and 384.79

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Solution

The fourth proportional to 604.30, 906.24 and 384.79 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.30 : 906.24 = 384.79 : x
  2. Step 2: Convert to fraction form
    604.30/906.24 = 384.79/x
  3. Step 3: Cross multiply
    604.30x = 906.24 × 384.79
  4. Step 4: Simplify right side
    604.30x = 348,712.09
  5. Step 5: Solve for x
    x = 348,712.09/604.30
  6. Step 6: Final answer
    x = 577.05

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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.