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Finding the Fourth Proportional to 944.66, 1,416.90 and 295.26

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Solution

The fourth proportional to 944.66, 1,416.90 and 295.26 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.66 : 1,416.90 = 295.26 : x
  2. Step 2: Convert to fraction form
    944.66/1,416.90 = 295.26/x
  3. Step 3: Cross multiply
    944.66x = 1,416.90 × 295.26
  4. Step 4: Simplify right side
    944.66x = 418,353.89
  5. Step 5: Solve for x
    x = 418,353.89/944.66
  6. Step 6: Final answer
    x = 442.86

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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.