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Finding the Fourth Proportional to 717.14, 1,075.80 and 306.34

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Solution

The fourth proportional to 717.14, 1,075.80 and 306.34 is: 459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 1,075.80 = 306.34 : x
  2. Step 2: Convert to fraction form
    717.14/1,075.80 = 306.34/x
  3. Step 3: Cross multiply
    717.14x = 1,075.80 × 306.34
  4. Step 4: Simplify right side
    717.14x = 329,560.57
  5. Step 5: Solve for x
    x = 329,560.57/717.14
  6. Step 6: Final answer
    x = 459.55

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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.