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Finding the Fourth Proportional to 912.54, 1,368.33 and 296.18

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Solution

The fourth proportional to 912.54, 1,368.33 and 296.18 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.54 : 1,368.33 = 296.18 : x
  2. Step 2: Convert to fraction form
    912.54/1,368.33 = 296.18/x
  3. Step 3: Cross multiply
    912.54x = 1,368.33 × 296.18
  4. Step 4: Simplify right side
    912.54x = 405,265.14
  5. Step 5: Solve for x
    x = 405,265.14/912.54
  6. Step 6: Final answer
    x = 444.11

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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.