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Finding the Fourth Proportional to 944, 1,416.16 and 294.61

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Solution

The fourth proportional to 944, 1,416.16 and 294.61 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944 : 1,416.16 = 294.61 : x
  2. Step 2: Convert to fraction form
    944/1,416.16 = 294.61/x
  3. Step 3: Cross multiply
    944x = 1,416.16 × 294.61
  4. Step 4: Simplify right side
    944x = 417,207.82
  5. Step 5: Solve for x
    x = 417,207.82/944
  6. Step 6: Final answer
    x = 441.96

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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.