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Finding the Fourth Proportional to 604.76, 835 and 473.54

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Solution

The fourth proportional to 604.76, 835 and 473.54 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 835 = 473.54 : x
  2. Step 2: Convert to fraction form
    604.76/835 = 473.54/x
  3. Step 3: Cross multiply
    604.76x = 835 × 473.54
  4. Step 4: Simplify right side
    604.76x = 395,405.90
  5. Step 5: Solve for x
    x = 395,405.90/604.76
  6. Step 6: Final answer
    x = 653.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.