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Finding the Fourth Proportional to 604.14, 904.58 and 387.06

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Solution

The fourth proportional to 604.14, 904.58 and 387.06 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 904.58 = 387.06 : x
  2. Step 2: Convert to fraction form
    604.14/904.58 = 387.06/x
  3. Step 3: Cross multiply
    604.14x = 904.58 × 387.06
  4. Step 4: Simplify right side
    604.14x = 350,126.73
  5. Step 5: Solve for x
    x = 350,126.73/604.14
  6. Step 6: Final answer
    x = 579.55

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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.