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Finding the Fourth Proportional to 717.28, 1,075.94 and 306.42

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Solution

The fourth proportional to 717.28, 1,075.94 and 306.42 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.28 : 1,075.94 = 306.42 : x
  2. Step 2: Convert to fraction form
    717.28/1,075.94 = 306.42/x
  3. Step 3: Cross multiply
    717.28x = 1,075.94 × 306.42
  4. Step 4: Simplify right side
    717.28x = 329,689.53
  5. Step 5: Solve for x
    x = 329,689.53/717.28
  6. Step 6: Final answer
    x = 459.64

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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.