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Finding the Fourth Proportional to 505, 756.06 and 431.56

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Solution

The fourth proportional to 505, 756.06 and 431.56 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 756.06 = 431.56 : x
  2. Step 2: Convert to fraction form
    505/756.06 = 431.56/x
  3. Step 3: Cross multiply
    505x = 756.06 × 431.56
  4. Step 4: Simplify right side
    505x = 326,285.25
  5. Step 5: Solve for x
    x = 326,285.25/505
  6. Step 6: Final answer
    x = 646.11

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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.