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Finding the Fourth Proportional to 744.42, 1,116.95 and 306

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Solution

The fourth proportional to 744.42, 1,116.95 and 306 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.42 : 1,116.95 = 306 : x
  2. Step 2: Convert to fraction form
    744.42/1,116.95 = 306/x
  3. Step 3: Cross multiply
    744.42x = 1,116.95 × 306
  4. Step 4: Simplify right side
    744.42x = 341,786.70
  5. Step 5: Solve for x
    x = 341,786.70/744.42
  6. Step 6: Final answer
    x = 459.13

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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.