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Finding the Fourth Proportional to 945.65, 1,418.54 and 296.38

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Solution

The fourth proportional to 945.65, 1,418.54 and 296.38 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.65 : 1,418.54 = 296.38 : x
  2. Step 2: Convert to fraction form
    945.65/1,418.54 = 296.38/x
  3. Step 3: Cross multiply
    945.65x = 1,418.54 × 296.38
  4. Step 4: Simplify right side
    945.65x = 420,418.31
  5. Step 5: Solve for x
    x = 420,418.31/945.65
  6. Step 6: Final answer
    x = 444.58

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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.