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Finding the Fourth Proportional to 944.26, 1,416.35 and 359.24

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Solution

The fourth proportional to 944.26, 1,416.35 and 359.24 is: 538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.26 : 1,416.35 = 359.24 : x
  2. Step 2: Convert to fraction form
    944.26/1,416.35 = 359.24/x
  3. Step 3: Cross multiply
    944.26x = 1,416.35 × 359.24
  4. Step 4: Simplify right side
    944.26x = 508,803.39
  5. Step 5: Solve for x
    x = 508,803.39/944.26
  6. Step 6: Final answer
    x = 538.84

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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.