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Finding the Fourth Proportional to 913.19, 1,369.80 and 296.87

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Solution

The fourth proportional to 913.19, 1,369.80 and 296.87 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.19 : 1,369.80 = 296.87 : x
  2. Step 2: Convert to fraction form
    913.19/1,369.80 = 296.87/x
  3. Step 3: Cross multiply
    913.19x = 1,369.80 × 296.87
  4. Step 4: Simplify right side
    913.19x = 406,645.68
  5. Step 5: Solve for x
    x = 406,645.68/913.19
  6. Step 6: Final answer
    x = 445.30

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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.