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Finding the Fourth Proportional to 716.99, 1,075.97 and 306.23

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Solution

The fourth proportional to 716.99, 1,075.97 and 306.23 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.99 : 1,075.97 = 306.23 : x
  2. Step 2: Convert to fraction form
    716.99/1,075.97 = 306.23/x
  3. Step 3: Cross multiply
    716.99x = 1,075.97 × 306.23
  4. Step 4: Simplify right side
    716.99x = 329,488.53
  5. Step 5: Solve for x
    x = 329,488.53/716.99
  6. Step 6: Final answer
    x = 459.54

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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.