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Finding the Fourth Proportional to 944.54, 1,416.86 and 295.28

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Solution

The fourth proportional to 944.54, 1,416.86 and 295.28 is: 442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.54 : 1,416.86 = 295.28 : x
  2. Step 2: Convert to fraction form
    944.54/1,416.86 = 295.28/x
  3. Step 3: Cross multiply
    944.54x = 1,416.86 × 295.28
  4. Step 4: Simplify right side
    944.54x = 418,370.42
  5. Step 5: Solve for x
    x = 418,370.42/944.54
  6. Step 6: Final answer
    x = 442.94

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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.