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Finding the Fourth Proportional to 944.31, 1,416.61 and 475.99

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Solution

The fourth proportional to 944.31, 1,416.61 and 475.99 is: 714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.31 : 1,416.61 = 475.99 : x
  2. Step 2: Convert to fraction form
    944.31/1,416.61 = 475.99/x
  3. Step 3: Cross multiply
    944.31x = 1,416.61 × 475.99
  4. Step 4: Simplify right side
    944.31x = 674,292.19
  5. Step 5: Solve for x
    x = 674,292.19/944.31
  6. Step 6: Final answer
    x = 714.06

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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.