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Finding the Fourth Proportional to 912.47, 1,369.01 and 296.20

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Solution

The fourth proportional to 912.47, 1,369.01 and 296.20 is: 444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.47 : 1,369.01 = 296.20 : x
  2. Step 2: Convert to fraction form
    912.47/1,369.01 = 296.20/x
  3. Step 3: Cross multiply
    912.47x = 1,369.01 × 296.20
  4. Step 4: Simplify right side
    912.47x = 405,498.08
  5. Step 5: Solve for x
    x = 405,498.08/912.47
  6. Step 6: Final answer
    x = 444.39

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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.