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Finding the Fourth Proportional to 604.65, 905.66 and 473.77

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Solution

The fourth proportional to 604.65, 905.66 and 473.77 is: 709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 905.66 = 473.77 : x
  2. Step 2: Convert to fraction form
    604.65/905.66 = 473.77/x
  3. Step 3: Cross multiply
    604.65x = 905.66 × 473.77
  4. Step 4: Simplify right side
    604.65x = 429,074.54
  5. Step 5: Solve for x
    x = 429,074.54/604.65
  6. Step 6: Final answer
    x = 709.62

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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.