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Finding the Fourth Proportional to 612.31, 917.51 and 520.63

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Solution

The fourth proportional to 612.31, 917.51 and 520.63 is: 780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.31 : 917.51 = 520.63 : x
  2. Step 2: Convert to fraction form
    612.31/917.51 = 520.63/x
  3. Step 3: Cross multiply
    612.31x = 917.51 × 520.63
  4. Step 4: Simplify right side
    612.31x = 477,680.63
  5. Step 5: Solve for x
    x = 477,680.63/612.31
  6. Step 6: Final answer
    x = 780.13

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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.