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Finding the Fourth Proportional to 612.68, 917.93 and 419.36

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Solution

The fourth proportional to 612.68, 917.93 and 419.36 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 917.93 = 419.36 : x
  2. Step 2: Convert to fraction form
    612.68/917.93 = 419.36/x
  3. Step 3: Cross multiply
    612.68x = 917.93 × 419.36
  4. Step 4: Simplify right side
    612.68x = 384,939.58
  5. Step 5: Solve for x
    x = 384,939.58/612.68
  6. Step 6: Final answer
    x = 628.29

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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.