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Finding the Fourth Proportional to 945.69, 1,418.53 and 296.47

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Solution

The fourth proportional to 945.69, 1,418.53 and 296.47 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.69 : 1,418.53 = 296.47 : x
  2. Step 2: Convert to fraction form
    945.69/1,418.53 = 296.47/x
  3. Step 3: Cross multiply
    945.69x = 1,418.53 × 296.47
  4. Step 4: Simplify right side
    945.69x = 420,550.11
  5. Step 5: Solve for x
    x = 420,550.11/945.69
  6. Step 6: Final answer
    x = 444.70

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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.