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Finding the Fourth Proportional to 612.06, 917.41 and 304.14

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Solution

The fourth proportional to 612.06, 917.41 and 304.14 is: 455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 917.41 = 304.14 : x
  2. Step 2: Convert to fraction form
    612.06/917.41 = 304.14/x
  3. Step 3: Cross multiply
    612.06x = 917.41 × 304.14
  4. Step 4: Simplify right side
    612.06x = 279,021.08
  5. Step 5: Solve for x
    x = 279,021.08/612.06
  6. Step 6: Final answer
    x = 455.87

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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.