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Finding the Fourth Proportional to 612.23, 917.65 and 303.77

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Solution

The fourth proportional to 612.23, 917.65 and 303.77 is: 455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.23 : 917.65 = 303.77 : x
  2. Step 2: Convert to fraction form
    612.23/917.65 = 303.77/x
  3. Step 3: Cross multiply
    612.23x = 917.65 × 303.77
  4. Step 4: Simplify right side
    612.23x = 278,750.34
  5. Step 5: Solve for x
    x = 278,750.34/612.23
  6. Step 6: Final answer
    x = 455.31

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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.