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Finding the Fourth Proportional to 912.96, 1,369.62 and 296.70

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Solution

The fourth proportional to 912.96, 1,369.62 and 296.70 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.96 : 1,369.62 = 296.70 : x
  2. Step 2: Convert to fraction form
    912.96/1,369.62 = 296.70/x
  3. Step 3: Cross multiply
    912.96x = 1,369.62 × 296.70
  4. Step 4: Simplify right side
    912.96x = 406,366.25
  5. Step 5: Solve for x
    x = 406,366.25/912.96
  6. Step 6: Final answer
    x = 445.11

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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.