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Finding the Fourth Proportional to 944.13, 1,416.19 and 294.86

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Solution

The fourth proportional to 944.13, 1,416.19 and 294.86 is: 442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.13 : 1,416.19 = 294.86 : x
  2. Step 2: Convert to fraction form
    944.13/1,416.19 = 294.86/x
  3. Step 3: Cross multiply
    944.13x = 1,416.19 × 294.86
  4. Step 4: Simplify right side
    944.13x = 417,577.78
  5. Step 5: Solve for x
    x = 417,577.78/944.13
  6. Step 6: Final answer
    x = 442.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.