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Finding the Fourth Proportional to 612.30, 917 and 380.56

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Solution

The fourth proportional to 612.30, 917 and 380.56 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.30 : 917 = 380.56 : x
  2. Step 2: Convert to fraction form
    612.30/917 = 380.56/x
  3. Step 3: Cross multiply
    612.30x = 917 × 380.56
  4. Step 4: Simplify right side
    612.30x = 348,973.52
  5. Step 5: Solve for x
    x = 348,973.52/612.30
  6. Step 6: Final answer
    x = 569.94

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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.