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Finding the Fourth Proportional to 944.92, 1,417.52 and 295.57

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Solution

The fourth proportional to 944.92, 1,417.52 and 295.57 is: 443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.92 : 1,417.52 = 295.57 : x
  2. Step 2: Convert to fraction form
    944.92/1,417.52 = 295.57/x
  3. Step 3: Cross multiply
    944.92x = 1,417.52 × 295.57
  4. Step 4: Simplify right side
    944.92x = 418,976.39
  5. Step 5: Solve for x
    x = 418,976.39/944.92
  6. Step 6: Final answer
    x = 443.40

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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.