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Finding the Fourth Proportional to 612.53, 845.05 and 435.47

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Solution

The fourth proportional to 612.53, 845.05 and 435.47 is: 600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.53 : 845.05 = 435.47 : x
  2. Step 2: Convert to fraction form
    612.53/845.05 = 435.47/x
  3. Step 3: Cross multiply
    612.53x = 845.05 × 435.47
  4. Step 4: Simplify right side
    612.53x = 367,991.75
  5. Step 5: Solve for x
    x = 367,991.75/612.53
  6. Step 6: Final answer
    x = 600.78

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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.